Galaxy Formation

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1. Verfasser: Longair, Malcolm 1941- (VerfasserIn)
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Veröffentlicht: Berlin Springer [2023]
Ausgabe:Third edition
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653 |a galaxy formation 
653 |a development of structure in the Universe 
653 |a cosmological models 
653 |a contemporary observations of the Universe in all wavebands 
653 |a the physics of cosmology and galaxy formation 
653 |a great problems of cosmology 
653 |a astrophysical cosmology textbook 
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Datensatz im Suchindex

_version_ 1804184912837738496
adam_text CONTENTS PART I PRELIMINARIES 1 A VERY BRIEF HISTORY OF COSMOLOGY AND GALAXY FORMATION ............... 3 1.1 INTRODUCTION .................................................................................. 3 1.2 EARLY HISTORY OF COSMOLOGY ........................................................ 4 1.3 THE GALAXIES AND THE STRUCTURE OF OUR GALAXY ............................ 5 1.4 THE THEORY OF THE EXPANDING UNIVERSE ........................................ 10 1.5 THE BIG BANG ............................................................................... 14 1.6 GALAXY AND STRUCTURE FORMATION .................................................. 17 1.7 HOT AND COLD DARK MATTER ............................................................ 20 1.8 THE VALUES OF THE COSMOLOGICAL PARAMETERS ............................... 21 1.9 THE VERY EARLY UNIVERSE .............................................................. 24 1.10 THE AGENDA .................................................................................. 27 REFERENCES ................................................................................................. 27 2 THE LARGE SCALE STRUCTURE OF THE UNIVERSE ............................................. 31 2.1 THE ISOTROPY AND SPECTRUM OF THE COSMIC MICROWAVE BACKGROUND RADIATION ................................................................. 31 2.1.1 THE ISOTROPY OF THE COSMIC MICROWAVE BACKGROUND RADIATION .................................................. 32 2.1.2 THE SPECTRUM OF THE COSMIC MICROWAVE BACKGROUND RADIATION .................................................. 37 2.2 THE LARGE-SCALE DISTRIBUTION OF GALAXIES ................................... 39 2.2.1 TWO-POINT CORRELATION FUNCTIONS ................................... 40 2.2.2 WALLS AND VOIDS IN THE DISTRIBUTION OF GALAXIES ON LARGE SCALES .............................................................. 43 2.2.3 THE TOPOLOGY OF THE GALAXY DISTRIBUTION ON THE LARGE SCALE .................................................................... 46 2.3 HUBBLE S LAW AND THE EXPANSION OF THE UNIVERSE ....................... 48 2.3.1 THE VELOCITY-DISTANCE RELATION FOR GALAXIES AND COUNTS OF GALAXIES ................................................. 48 2.3.2 THE EXPANSION OF THE UNIVERSE ..................................... 52 XV XVI CONTENTS 2.4 CONCLUSION ................................................................................... 53 REFERENCES ................................................................................................. 54 3 GALAXIES .......................................................................................................... 57 3.1 INTRODUCTION .................................................................................. 57 3.2 THE HUBBLE-DE VAUCOULEURS SEQUENCE FOR GALAXIES ..................... 58 3.3 PECULIAR, INTERACTING, STARBURST AND ACTIVE GALAXIES .................... 63 3.3.1 PECULIAR AND INTERACTING GALAXIES .................................. 63 3.3.2 STARBURST GALAXIES ........................................................... 67 3.3.3 ACTIVE GALAXIES ............................................................... 67 3.4 CORRELATIONS AMONG THE POPULATIONS OF GALAXIES: BROADBAND PROPERTIES .................................................................. 69 3.4.1 THE RED AND BLUE SEQUENCES ........................................ 70 3.4.2 COLOUR VERSUS ABSOLUTE MAGNITUDE .............................. 70 3.4.3 THE LIGHT DISTRIBUTION IN GALAXIES AND THE SERSIC INDEX .................................................................... 71 3.5 CORRELATIONS AMONG THE POPULATIONS OF GALAXIES: SPECTROSCOPIC AND GASEOUS PROPERTIES ........................................ 75 3.5.1 MEAN STELLAR AGE AND CONCENTRATION C ......................... 76 3.5.2 THE FABER-JACKSON RELATION AND THE FUNDAMENTAL PLANE ........................................................ 78 3.5.3 LUMINOSITY-METALLICITY RELATIONS .................................. 80 3.5.4 THE TULLY-FISHER RELATION FOR SPIRAL GALAXIES ............... 82 3.5.5 NEUTRAL AND IONISED GAS ALONG THE HUBBLE SEQUENCE ... 83 3.6 THE MASSES OF GALAXIES .............................................................. 84 3.6.1 THE VIRIAL THEOREM FOR CLUSTERS OF STARS, GALAXIES AND CLUSTERS OF GALAXIES ................................. 84 3.6.2 THE ROTATION CURVES OF SPIRAL GALAXIES ......................... 87 3.6.3 THE VELOCITY DISPERSIONS OF ELLIPTICAL GALAXIES ............. 90 3.7 THE LUMINOSITY FUNCTION OF GALAXIES ......................................... 91 3.7.1 IS L* A STANDARD CANDLE? ................................................ 95 3.7.2 THE BRIGHTEST GALAXIES IN CLUSTERS ................................ 95 3.8 THE EFFECT OF THE GALAXY ENVIRONMENT ........................................ 96 3.9 THE MEAN MASS-TO-LUMINOSITY RATIO FOR VISIBLE MATTER IN THE UNIVERSE ............................................................................. 98 3.10 CONCLUDING REMARK ..................................................................... 100 REFERENCES ................................................................................................. 100 4 CLUSTERS OF GALAXIES ..................................................................................... 105 4.1 THE DEMOGRAPHY OF CLUSTERS OF GALAXIES ................................... 106 4.1.1 THE ABELL CATALOGUES OF RICH CLUSTERS OF GALAXIES ....... 106 4.1.2 COMPARISON WITH CLUSTERS SELECTED FROM THE SLOAN DIGITAL SKY SURVEY ............................................... 108 4.1.3 SUPERCLUSTERING AND THE LARGE-SCALE DISTRIBUTION OF CLUSTERS OF GALAXIES ................ 109 CONTENTS XVII 4.2 THE POPULATIONS AND SPATIAL DISTRIBUTION OF GALAXIES IN CLUSTERS ....................................................................... 112 4.3 ISOTHERMAL GAS SPHERES ................................................................ 113 4.3.1 THE LUMINOSITY FUNCTION FOR CLUSTER GALAXIES ............. 119 4.3.2 SUMMARY OF THE PROPERTIES OF RICH CLUSTERS OF GALAXIES ..................................................................... 120 4.4 DYNAMICAL ESTIMATES OF THE MASSES OF CLUSTERS OF GALAXIES ....... 121 4.5 X-RAY OBSERVATIONS OF HOT GAS IN CLUSTERS OF GALAXIES .............. 124 4.5.1 DETERMINING THE GRAVITATIONAL POTENTIAL ........................ 125 4.5.2 SCALING RELATIONS ............................................................ 129 4.5.3 COOLING FLOWS ................................................................ 131 4.6 THE SUNYAEV-ZELDOVICH EFFECT IN HOT INTRACLUSTER GAS ............... 135 4.7 GRAVITATIONAL LENSING BY GALAXIES AND CLUSTERS OF GALAXIES ....... 141 4.7.1 BASIC THEORY OF GRAVITATIONAL DEFLECTIONS ..................... 142 4.7.2 MAGNIFICATION OF IMAGES BY GRAVITATIONAL LENSING ........ 144 4.7.3 EXTENDED DEFLECTORS ....................................................... 147 4.7.4 GRAVITATIONAL LENSING, ASTROPHYSICS AND COSMOLOGY ... 150 4.8 FORMS OF DARK MATTER ................................................................... 152 4.8.1 BARYONIC DARK MATTER .................................................... 152 4.8.2 NEUTRINOS WITH FINITE REST MASS ................................... 155 4.8.3 ASTROPHYSICAL CONSTRAINTS ............................................... 156 4.9 REFLECTIONS ................................................................................... 157 REFERENCES ................................................................................................ 158 PART II THE BASIC FRAMEWORK 5 THE THEORETICAL FRAMEWORK ....................................................................... 165 5.1 THE COSMOLOGICAL PRINCIPLE ...................... 165 5.2 ISOTROPIC CURVED SPACES ............................................................... 167 5.2.1 ISOTROPIC 2-DIMENSIONAL SPHERICAL GEOMETRIES ............. 168 5.2.2 GENERAL SOLUTION FOR ISOTROPIC 2-SPACES ......................... 169 5.3 THE SPACE-TIME METRIC FOR ISOTROPIC CURVED SPACES .................. 172 5.4 THE ROBERTSON-WALKER METRIC ...................................................... 175 5.5 OBSERVATIONS IN COSMOLOGY ......................................................... 179 5.5.1 THE COSMOLOGICAL REDSHIFT ........................................... 179 5.5.2 HUBBLE S LAW ................................................................. 184 5.5.3 ANGULAR DIAMETERS ......................................................... 185 5.5.4 APPARENT INTENSITIES ....................................................... 186 5.5.5 NUMBER DENSITIES .......................................................... 189 5.5.6 THE AGE OF THE UNIVERSE ................................................ 190 5.6 SUMMARY ...................................................................................... 190 REFERENCES ................................................................................................ 191 6 AN INTRODUCTION TO RELATIVISTIC GRAVITY ................................................... 193 6.1 THE PRINCIPLE OF EQUIVALENCE ........................................................ 194 6.2 THE GRAVITATIONAL REDSHIFT ........................................................... 197 XVIII CONTENTS 6.3 THE BENDING OF LIGHT RAYS ........................................................... 200 6.4 FURTHER COMPLICATIONS .................................................................. 202 6.5 THE ROUTE TO GENERAL RELATIVITY .................................................. 205 6.5.1 FOUR-TENSORS IN RELATIVITY .............................................. 206 6.5.2 WHAT EINSTEIN DID ........................................................... 208 6.6 EXPERIMENTAL AND OBSERVATIONAL TESTS OF GENERAL RELATIVITY ....... 210 6.6.1 PARAMETERISED POST-NEWTONIAN MODELS .......................... 211 6.6.2 THE FOUR TESTS OF GENERAL RELATIVITY .............................. 213 6.6.3 PULSARS AND GENERAL RELATIVITY ........................................ 217 6.6.4 VARIATION OF THE GRAVITATIONAL CONSTANT WITH COSMIC EPOCH ................................................................ 222 6.7 SUMMARY ...................................................................................... 223 REFERENCES ................................................................................................. 224 7 THE FRIEDMAN WORLD MODELS .................................................................... 227 7.1 EINSTEIN S FIELD EQUATIONS ............................................................ 227 7.2 THE STANDARD FRIEDMAN WORLD MODELS WITH A = 0 ..................... 231 7.2.1 THE NEWTONIAN ANALOGUE OF THE FRIEDMAN WORLD MODELS ................................................................ 231 7.2.2 THE CRITICAL DENSITY AND THE DENSITY PARAMETER ............ 233 7.2.3 THE DYNAMICS OF THE FRIEDMAN MODELS WITH A = 0 .... 234 7.2.4 PEDAGOGICAL DIGRESSION: THE ROBERTSON-WALKER METRIC FOR AN EMPTY UNIVERSE ....................................... 237 7.3 FRIEDMAN MODELS WITH NON-ZERO COSMOLOGICAL CONSTANT .......... 240 7.3.1 THE COSMOLOGICAL CONSTANT AND THE VACUUM ENERGY DENSITY ................................................ 240 7.3.2 VARYING THE EQUATION OF STATE OF THE VACUUM ENERGY ... 243 7.3.3 THE DYNAMICS OF WORLD MODELS WITH A # 0: GENERAL CONSIDERATIONS ................................................. 244 7.4 OBSERVATIONS IN COSMOLOGY ......................................................... 249 7.4.1 THE DECELERATION PARAMETER .......................................... 249 7.4.2 THE COSMIC TIME-REDSHIFT RELATION .............................. 249 7.4.3 DISTANCE MEASURES AS A FUNCTION OF REDSHIFT ................. 251 7.4.4 ANGULAR DIAMETER-REDSHIFT RELATIONS ............................ 255 7.4.5 FLUX DENSITY-REDSHIFT RELATIONS .................................... 255 7.4.6 THE COMOVING VOLUME WITHIN REDSHIFT Z ..................... 259 7.5 ANGULAR DIAMETER DISTANCES BETWEEN ANY TWO REDSHIFTS ......... 262 7.5.1 MODELS WITH 92A = 0 ..................................................... 262 7.5.2 MODELS WITH Q A 0 ..................................................... 264 7.6 THE FLATNESS PROBLEM ................................................................... 264 7.7 INHOMOGENEOUS WORLD MODELS ..................................................... 265 REFERENCES ................................................................................................. 270 CONTENTS XIX 8 THE DETERMINATION OF COSMOLOGICAL PARAMETERS ................................... 273 8.1 THE COSMOLOGICAL PARAMETERS ...................................................... 274 8.2 TESTING THE FRIEDMAN MODELS ...................................................... 275 8.3 HUBBLE S CONSTANT HO .................................................................. 279 8.4 THE AGE OF THE UNIVERSE TO ......................................................... 283 8.5 THE DECELERATION PARAMETER QO ..................................................... 286 8.5.1 THE REDSHIFT-MAGNITUDE RELATION FOR THE BRIGHTEST GALAXIES IN CLUSTERS ....................................... 286 8.5.2 THE REDSHIFT: K MAGNITUDE RELATION FOR RADIO GALAXIES - A CAUTIONARY TALE ....................................... 288 8.5.3 THE REDSHIFT-MAGNITUDE RELATION FOR TYPE LA SUPERNOVAE .................................................................... 290 8.5.4 THE NUMBER COUNTS OF GALAXIES ................................... 292 8.5.5 THE ANGULAR DIAMETER-REDSHIFT TEST ............................. 294 8.6 Q A AND THE STATISTICS OF GRAVITATIONAL LENSES .............................. 297 8.7 THE DENSITY PARAMETER 920 .......................................................... 300 8.8 SUMMARY ...................................................................................... 303 REFERENCES ................................................................................................. 303 9 THE THERMAL HISTORY OF THE UNIVERSE ....................................................... 307 9.1 RADIATION-DOMINATED UNIVERSES .................................................. 307 9.2 THE MATTER AND RADIATION CONTENT OF THE UNIVERSE ..................... 310 9.3 THE EPOCH OF RECOMBINATION ...................................................... 313 9.4 THE RADIATION-DOMINATED ERA ..................................................... 317 9.5 THE SPEED OF SOUND AS A FUNCTION OF COSMIC EPOCH .................. 321 9.6 EARLY EPOCHS ................................................................................ 322 REFERENCES ................................................................ 323 10 NUCLEOSYNTHESIS IN THE EARLY UNIVERSE ...................................................... 325 10.1 EQUILIBRIUM ABUNDANCES IN THE EARLY UNIVERSE ........................... 326 10.2 THE DECOUPLING OF NEUTRINOS AND THE NEUTRINO BARRIER ............... 327 10.3 THE SYNTHESIS OF THE LIGHT ELEMENTS ............................................ 328 10.4 THE ABUNDANCES OF THE LIGHT ELEMENTS ........................................ 331 10.4.1 DETERMINATIONS OF THE OBSERVED ABUNDANCES OF THE LIGHT ELEMENTS .................................................... 333 10.4.2 COMPARISON OF THEORY AND OBSERVATIONS ...................... 337 10.5 THE NEUTRINO BACKGROUND TEMPERATURE AND THE VALUE OF X ........ 339 10.6 BARYON-SYMMETRIC UNIVERSES ...................................................... 341 REFERENCES ................................................................................................. 346 PART III THE DEVELOPMENT OF PRIMORDIAL FLUCTUATIONS UNDER GRAVITY 11 THE EVOLUTION OF DENSITY PERTURBATIONS IN THE STANDARD BIG BANG ... 349 11.1 THE OBJECT OF THE EXERCISE .......................................................... 349 11.1.1 PRELIMINARY CONSIDERATIONS ........................................... 350 XX CONTENTS 11.1.2 A WARNING ...................................................................... 351 11.2 THE NON-RELATIVISTIC WAVE EQUATION FOR THE GROWTH OF SMALL PERTURBATIONS IN THE EXPANDING UNIVERSE ...................... 351 11.3 THE JEANS INSTABILITY .................................................................... 356 11.4 THE JEANS INSTABILITY IN AN EXPANDING MEDIUM .......................... 358 11.4.1 SMALL PERTURBATION ANALYSIS .......................................... 358 11.4.2 PERTURBING THE FRIEDMAN SOLUTIONS ................................ 360 11.4.3 FALLING POLES ................................................................... 362 11.4.4 THE GENERAL SOLUTION .................................................... 364 11.5 THE EVOLUTION OF PECULIAR VELOCITIES IN THE EXPANDING UNIVERSE ....................................................................................... 367 11.6 THE RELATIVISTIC CASE ................................................................... 369 11.7 THE BASIC PROBLEM ........................................................................ 372 REFERENCES ................................................................................................. 373 12 MORE TOOLS AND PROBLEMS ........................................................................... 375 12.1 HORIZONS AND THE HORIZON PROBLEM .............................................. 376 12.2 PEDAGOGICAL INTERLUDE: SPACE-TIME DIAGRAMS FOR THE STANDARD WORLD MODELS ................................................................ 379 12.2.1 DISTANCE AND TIMES ....................................................... 379 12.2.2 THE PAST LIGHT CONE ...................................................... 381 12.2.3 THE CRITICAL WORLD MODEL 920 = 1, 92A =0 ................. 383 12.2.4 THE REFERENCE WORLD MODEL Q Q = 0.3, 92A =0.7 ....... 386 12.3 SUPERHORIZON SCALES ..................................................................... 388 12.4 THE ADIABATIC BARYONIC FLUCTUATIONS IN THE STANDARD BIG BANG ..................................................................................... 392 12.4.1 THE RADIATION-DOMINATED ERA ....................................... 393 12.4.2 THE MATTER-DOMINATED ERA ........................................... 394 12.5 DISSIPATION PROCESSES IN THE PRE-RECOMBINATION ERA .................. 397 12.6 ISOTHERMAL PERTURBATIONS .............................................................. 399 12.7 BARYONIC THEORIES OF GALAXY FORMATION ...................................... 403 12.7.1 THE ADIABATIC SCENARIO .................................................. 403 12.7.2 THE ISOTHERMAL SCENARIO ................................................. 405 12.8 WHAT WENT WRONG? ...................................................................... 406 REFERENCES ................................................................................................. 408 13 DARK MATTER AND GALAXY FORMATION ....................................................... 411 13.1 INTRODUCTION ................................................................................. 411 13.2 FORMS OF NON-BARYONIC DARK MATTER .......................................... 413 13.2.1 AXIONS ............................................................................ 414 13.2.2 NEUTRINOS ........................................................................ 414 13.3 WIMPS AS DARK MATTER PARTICLES ................................................. 415 13.3.1 SUPPRESSION MECHANISM FOR WIMPS .............................. 415 13.3.2 EXPERIMENTAL LIMITS ...................................................... 418 13.4 METRIC PERTURBATIONS AND HOT AND COLD DARK MATTER ................... 420 CONTENTS XXI 13.5 FREE STREAMING AND THE DAMPING OF HOT DARK MATTER PERTURBATIONS ................................................................... 421 13.6 GRAVITATIONAL INSTABILITIES IN THE PRESENCE OF DARK MATTER ........... 423 13.7 THE EVOLUTION OF HOT AND COLD DARK MATTER PERTURBATIONS ......... 426 13.7.1 HOT DARK MATTER SCENARIO ............................................. 426 13.7.2 COLD DARK MATTER SCENARIO ........................................... 427 13.8 CONCLUSION ................................................................................... 430 REFERENCES ................................................................................................. 430 14 CORRELATION FUNCTIONS AND THE SPECTRUM OF THE INITIAL FLUCTUATIONS .................................................................................................. 433 14.1 THE TWO-POINT CORRELATION FUNCTION FOR GALAXIES ...................... 434 14.2 THE PERTURBATION SPECTRUM .......................................................... 436 14.2.1 THE RELATION BETWEEN ^(R) AND THE POWER SPECTRUM OF THE FLUCTUATIONS ........................................ 437 14.2.2 POWER SPECTRA OF POWER-LAW FORM ............................. 439 14.2.3 THE HARRISON-ZELDOVICH POWER SPECTRUM ................... 440 14.3 THE EVOLUTION OF THE INITIAL PERTURBATION SPECTRUM: TRANSFER FUNCTIONS ....................................................................... 442 14.3.1 ADIABATIC COLD DARK MATTER ......................................... 443 14.3.2 ADIABATIC HOT DARK MATTER .......................................... 446 14.3.3 ISOCURVATURE COLD DARK MATTER ..................................... 446 14.3.4 THE SUBSEQUENT EVOLUTION ............................................ 449 14.4 BIASING ........................................................................................ 451 14.5 RECONSTRUCTING THE PROCESSED INITIAL POWER SPECTRUM ................ 455 14.5.1 REDSHIFT BIASES .............................................................. 456 14.5.2 NON-LINEAR DEVELOPMENT OF THE DENSITY PERTURBATIONS .................................................................. 457 14.5.3 THE ROLE OF BARYON PERTURBATIONS ................................ 459 14.6 BARYON ACOUSTIC OSCILLATIONS IN THE POWER SPECTRUM OF GALAXIES .................................................................................. 461 14.6.1 THE 2DF GALAXY REDSHIFT SURVEY .................................. 462 14.6.2 THE SLOAN DIGITAL SKY SURVEY ...................................... 462 14.6.3 PUTTING IT ALL TOGETHER .................................................. 465 14.7 VARIATIONS ON A THEME OF COLD DARK MATTER ................................ 465 REFERENCES ................................................................................................. 470 15 THE COSMIC MICRO WAVE BACKGROUND RADIATION ................................... 473 15.1 THE IONISATION OF THE INTERGALACTIC GAS THROUGH THE EPOCH OF RECOMBINATION ....................................................... 474 15.2 THE PHYSICAL AND ANGULAR SCALES OF THE FLUCTUATIONS ................. 476 15.2.1 THE LAST SCATTERING LAYER ............................................ 477 15.2.2 THE SILK DAMPING SCALE ............................................... 478 15.2.3 PARTICLE AND SOUND HORIZON SCALES ON THE LAST SCATTERING SURFACE .......................................................... 479 XXII CONTENTS 15.2.4 THE HORIZON SCALE AT THE EPOCH OF EQUALITY OF MATTER AND RADIATION ENERGY DENSITIES ......................... 483 15.2.5 SUMMARY ....................................................................... 484 15.3 THE POWER SPECTRUM OF SPATIAL FLUCTUATIONS IN THE COSMIC MICROWAVE BACKGROUND RADIATION ....................... 485 15.3.1 THE STATISTICAL DESCRIPTION OF THE TEMPERATURE FLUCTUATIONS .................................................................... 485 15.3.2 THE POWER-SPECTRUM OF FLUCTUATIONS IN THE INTENSITY OF THE COSMIC MICROWAVE BACKGROUND RADIATION ................................................... 488 15.4 LARGE ANGULAR SCALES ................................................................... 490 15.4.1 THE SACHS-WOLFE EFFECT: PHYSICAL ARGUMENTS .............. 491 15.4.2 THE INTEGRATED SACHS-WOLFE AND REES-SCIAMA EFFECTS ........................................................................... 494 15.4.3 PRIMORDIAL GRAVITATIONAL WAVES .................................... 496 15.5 INTERMEDIATE ANGULAR SCALES: THE ACOUSTIC PEAKS ....................... 498 15.6 SMALL ANGULAR SCALES .................................................................... 505 15.6.1 STATISTICAL AND SILK DAMPING ........................................ 505 15.6.2 THE SUNYAEV-ZELDOVICH EFFECT IN CLUSTERS OF GALAXIES ..................................................................... 505 15.6.3 CONFUSION DUE TO DISCRETE SOURCES .............................. 508 15.7 THE REIONISED INTERGALACTIC GAS ................................................ 509 15.8 THE POLARISATION OF THE COSMIC MICROWAVE BACKGROUND RADIATION ......................................................................... 511 15.8.1 THE POLARISATION MECHANISM FOR THE COSMIC MICROWAVE BACKGROUND RADIATION ................................ 511 15.8.2 POLARISATION FROM THE LAST SCATTERING LAYER AT THE EPOCH OF RECOMBINATION ..................................... 512 15.8.3 POLARISATION FROM THE EPOCH OF REIONISATION ................ 516 15.8.4 PRIMORDIAL GRAVITATIONAL WAVES .................................... 517 15.8.5 WEAK GRAVITATIONAL LENSING .......................................... 518 15.9 THE DETERMINATION OF COSMOLOGICAL PARAMETERS ......................... 523 15.10 DARK ENERGY SURVEY .................................................................... 526 15.11 OTHER SOURCES OF PRIMORDIAL FLUCTUATIONS ................................... 529 15.12 REFLECTIONS .................................................................................. 531 REFERENCES ................................................................................................. 532 PART IV THE POST-RECOMBINATION UNIVERSE 16 THE POST-RECOMBINATION ERA ..................................................................... 539 16.1 INTRODUCTION .................................................................................. 539 16.2 THE NON-LINEAR COLLAPSE OF DENSITY PERTURBATIONS ...................... 541 16.2.1 ISOTROPIC TOP-HAT COLLAPSE ........................................... 541 16.2.2 THE ZELDOVICH APPROXIMATION ...................................... 544 16.3 THE ROLE OF DISSIPATION ............................................................... 546 CONTENTS XXIII 16.4 THE PRESS-SCHECHTER MASS FUNCTION ........................................... 550 16.4.1 ELEMENTARY THEORY ......................................................... 550 16.4.2 EVALUATION ...................................................................... 553 REFERENCES ................................................................................................ 558 17 THE EVOLUTION OF GALAXIES AND ACTIVE GALAXIES WITH COSMIC EPOCH ........................................................................................................... 561 17.1 INTRODUCTION ............................................................................... 561 17.2 COUNTS OF GALAXIES AND ACTIVE GALAXIES .................................... 563 17.2.1 EUCLIDEAN SOURCE COUNTS .............................................. 564 17.2.2 SOURCE COUNTS FOR THE STANDARD WORLD MODELS ............... 565 17.2.3 SUBMILLIMETRE COUNTS OF DUSTY GALAXIES ...................... 571 17.2.4 NUMBER COUNTS IN MODELS WITH FINITE 92A ................... 573 17.2.5 FLUCTUATIONS IN THE BACKGROUND RADIATION DUE TO DISCRETE SOURCES ........................................................ 575 17.3 THE V / VMAX OR LUMINOSITY-VOLUME TEST ..................................... 577 17.4 THE BACKGROUND RADIATION .......................................................... 580 17.4.1 THE BACKGROUND RADIATION AND THE SOURCE COUNTS ....... 581 17.4.2 EVALUATING THE BACKGROUND DUE TO DISCRETE SOURCES. ... 581 17.4.3 THE EFFECTS OF EVOLUTION: THE CASE OF THE RADIO BACKGROUND EMISSION ........................................ 583 17.5 THE EVOLUTION OF ACTIVE GALAXIES WITH COSMIC EPOCH .............. 585 17.5.1 NUMBER COUNTS AND V/ VMAX TESTS FOR EXTRAGALACTIC RADIO SOURCES .......................................... 585 17.5.2 RADIO QUIET QUASARS ..................................................... 589 17.5.3 X-RAY SOURCE COUNTS ................................................... 595 17.5.4 X-RAY CLUSTERS OF GALAXIES .......................................... 600 17.6 INFRARED AND SUBMILLIMETRE NUMBER COUNTS ................................ 603 17.7 COUNTS OF GALAXIES ....................................................................... 608 17.8 CLUSTERS OF GALAXIES ..................................................................... 613 REFERENCES ................................................................................................ 615 18 THE INTERGALACTIC MEDIUM .......................................................................... 621 18.1 THE BACKGROUND EMISSION AND ABSORPTION OF THE INTERGALACTIC GAS ............................................................... 622 18.2 THE GUNN-PETERSON TEST .............................................................. 623 18.3 THE LYMAN-O ABSORPTION CLOUDS ............................................... 626 18.3.1 THE PROPERTIES OF THE LYMAN-A ABSORPTION CLOUDS ...... 626 18.3.2 THE NATURE OF THE CLOUDS IN THE LYMAN-A FOREST .......... 632 18.3.3 THE EVOLUTION OF LYMAN-A ABSORPTION CLOUDS WITH COSMIC EPOCH ....................................................... 633 18.3.4 THE POWER-SPECTRUM OF THE LYMAN-A FOREST ................ 634 18.4 THE LUKE-WARM INTERGALACTIC GAS .............................................. 636 18.4.1 A SALUTARY TALE: THE X-RAY BACKGROUND AS A COSMIC CONSPIRACY ........................................................ 636 18.4.2 THE COLLISIONAL EXCITATION OF THE INTERGALACTIC GAS ...... 637 XXIV CONTENTS 18.4.3 THE LYMAN CONTINUUM OPACITY OF THE INTERGALACTIC GAS ........................................................... 639 18.4.4 THE PROXIMITY EFFECT AND THE DIFFUSE ULTRAVIOLET BACKGROUND RADIATION AT LARGE REDSHIFTS ... 644 18.5 THE POST-REIONISATION EVOLUTION OF THE INTERGALACTIC MEDIUM .... 647 18.6 THE EPOCH OF REIONISATION ........................................................... 651 18.7 THE ORIGIN OF MAGNETIC FIELDS ..................................................... 655 18.7.1 THE BIERMANN BATTERY .................................................... 657 18.7.2 TURBULENT AMPLIFICATION OF MAGNETIC FIELDS ................. 658 18.7.3 LARGE-SCALE MAGNETIC FIELDS FROM EXTRAGALACTIC RADIO SOURCES .......................................... 659 REFERENCES ................................................................................................. 660 19 MAKING REAL GALAXIES .................................................................................. 665 19.1 STAR AND ELEMENT FORMATION IN GALAXIES ..................................... 666 19.1.1 THE BACKGROUND RADIATION AND ELEMENT FORMATION .... 666 19.1.2 THE GLOBAL STAR FORMATION RATE FROM OPTICAL AND ULTRAVIOLET OBSERVATIONS OF STAR-FORMING GALAXIES .......................................................................... 670 19.1.3 THE LYMAN-BREAK GALAXIES ........................................... 673 19.1.4 THE HUBBLE DEEP AND ULTRA DEEP FIELDS ....................... 673 19.2 THE COSMIC STAR FORMATION RATE ................................................. 679 19.3 THE EQUATIONS OF COSMIC CHEMICAL EVOLUTION ............................ 686 19.4 THE ABUNDANCES OF ELEMENTS IN LYMAN-A ABSORPTION SYSTEMS ............................................................................ 688 19.5 THE OLD RED GALAXIES .................................................................. 692 19.6 THE ORIGIN OF ROTATION .................................................................. 696 19.7 PUTTING IT ALL TOGETHER: SEMI-ANALYTIC MODELS OF GALAXY FORMATION ....................................................... 699 REFERENCES ................................................................................................. 706 20 THE VERY EARLY UNIVERSE ............................................................................. 711 20.1 THE BIG PROBLEMS ........................................................................ 711 20.1.1 THE HORIZON PROBLEM .................................................... 712 20.1.2 THE FLATNESS PROBLEM .................................................... 712 20.1.3 THE BARYON-ASYMMETRY PROBLEM ................................. 713 20.1.4 THE PRIMORDIAL FLUCTUATION PROBLEM .............................. 713 20.1.5 THE VALUES OF THE COSMOLOGICAL PARAMETERS .................. 714 20.1.6 THE WAY AHEAD .............................................................. 714 20.2 THE LIMITS OF OBSERVATION ............................................................ 715 20.3 THE ANTHROPIC COSMOLOGICAL PRINCIPLE ....................................... 716 20.4 THE INFLATIONARY PARADIGM: HISTORICAL BACKGROUND ..................... 717 20.5 THE ORIGIN OF THE SPECTRUM OF PRIMORDIAL PERTURBATIONS ............ 720 20.5.1 THE EQUATION OF STATE ..................................................... 720 20.5.2 THE DURATION OF THE INFLATIONARY PHASE ........................... 721 20.5.3 THE SHRINKING HUBBLE SPHERE ........................................ 721 CONTENTS XXV 20.5.4 SCALAR FIELDS .................................................................. 724 20.5.5 THE QUANTISED HARMONIC OSCILLATOR .............................. 726 20.5.6 THE SPECTRUM OF FLUCTUATIONS IN THE SCALAR FIELD ......... 727 20.6 BARYOGENESIS ................................................................................ 731 20.7 THE PLANCK ERA ............................................................................. 732 REFERENCES .................................................................................................. 734 MAIN INDEX ............................................................................................................... 737 AUTHOR INDEX ............................................................................................................ 767
adam_txt CONTENTS PART I PRELIMINARIES 1 A VERY BRIEF HISTORY OF COSMOLOGY AND GALAXY FORMATION . 3 1.1 INTRODUCTION . 3 1.2 EARLY HISTORY OF COSMOLOGY . 4 1.3 THE GALAXIES AND THE STRUCTURE OF OUR GALAXY . 5 1.4 THE THEORY OF THE EXPANDING UNIVERSE . 10 1.5 THE BIG BANG . 14 1.6 GALAXY AND STRUCTURE FORMATION . 17 1.7 HOT AND COLD DARK MATTER . 20 1.8 THE VALUES OF THE COSMOLOGICAL PARAMETERS . 21 1.9 THE VERY EARLY UNIVERSE . 24 1.10 THE AGENDA . 27 REFERENCES . 27 2 THE LARGE SCALE STRUCTURE OF THE UNIVERSE . 31 2.1 THE ISOTROPY AND SPECTRUM OF THE COSMIC MICROWAVE BACKGROUND RADIATION . 31 2.1.1 THE ISOTROPY OF THE COSMIC MICROWAVE BACKGROUND RADIATION . 32 2.1.2 THE SPECTRUM OF THE COSMIC MICROWAVE BACKGROUND RADIATION . 37 2.2 THE LARGE-SCALE DISTRIBUTION OF GALAXIES . 39 2.2.1 TWO-POINT CORRELATION FUNCTIONS . 40 2.2.2 WALLS AND VOIDS IN THE DISTRIBUTION OF GALAXIES ON LARGE SCALES . 43 2.2.3 THE TOPOLOGY OF THE GALAXY DISTRIBUTION ON THE LARGE SCALE . 46 2.3 HUBBLE ' S LAW AND THE EXPANSION OF THE UNIVERSE . 48 2.3.1 THE VELOCITY-DISTANCE RELATION FOR GALAXIES AND COUNTS OF GALAXIES . 48 2.3.2 THE EXPANSION OF THE UNIVERSE . 52 XV XVI CONTENTS 2.4 CONCLUSION . 53 REFERENCES . 54 3 GALAXIES . 57 3.1 INTRODUCTION . 57 3.2 THE HUBBLE-DE VAUCOULEURS SEQUENCE FOR GALAXIES . 58 3.3 PECULIAR, INTERACTING, STARBURST AND ACTIVE GALAXIES . 63 3.3.1 PECULIAR AND INTERACTING GALAXIES . 63 3.3.2 STARBURST GALAXIES . 67 3.3.3 ACTIVE GALAXIES . 67 3.4 CORRELATIONS AMONG THE POPULATIONS OF GALAXIES: BROADBAND PROPERTIES . 69 3.4.1 THE RED AND BLUE SEQUENCES . 70 3.4.2 COLOUR VERSUS ABSOLUTE MAGNITUDE . 70 3.4.3 THE LIGHT DISTRIBUTION IN GALAXIES AND THE SERSIC INDEX . 71 3.5 CORRELATIONS AMONG THE POPULATIONS OF GALAXIES: SPECTROSCOPIC AND GASEOUS PROPERTIES . 75 3.5.1 MEAN STELLAR AGE AND CONCENTRATION C . 76 3.5.2 THE FABER-JACKSON RELATION AND THE FUNDAMENTAL PLANE . 78 3.5.3 LUMINOSITY-METALLICITY RELATIONS . 80 3.5.4 THE TULLY-FISHER RELATION FOR SPIRAL GALAXIES . 82 3.5.5 NEUTRAL AND IONISED GAS ALONG THE HUBBLE SEQUENCE . 83 3.6 THE MASSES OF GALAXIES . 84 3.6.1 THE VIRIAL THEOREM FOR CLUSTERS OF STARS, GALAXIES AND CLUSTERS OF GALAXIES . 84 3.6.2 THE ROTATION CURVES OF SPIRAL GALAXIES . 87 3.6.3 THE VELOCITY DISPERSIONS OF ELLIPTICAL GALAXIES . 90 3.7 THE LUMINOSITY FUNCTION OF GALAXIES . 91 3.7.1 IS L* A STANDARD CANDLE? . 95 3.7.2 THE BRIGHTEST GALAXIES IN CLUSTERS . 95 3.8 THE EFFECT OF THE GALAXY ENVIRONMENT . 96 3.9 THE MEAN MASS-TO-LUMINOSITY RATIO FOR VISIBLE MATTER IN THE UNIVERSE . 98 3.10 CONCLUDING REMARK . 100 REFERENCES . 100 4 CLUSTERS OF GALAXIES . 105 4.1 THE DEMOGRAPHY OF CLUSTERS OF GALAXIES . 106 4.1.1 THE ABELL CATALOGUES OF RICH CLUSTERS OF GALAXIES . 106 4.1.2 COMPARISON WITH CLUSTERS SELECTED FROM THE SLOAN DIGITAL SKY SURVEY . 108 4.1.3 SUPERCLUSTERING AND THE LARGE-SCALE DISTRIBUTION OF CLUSTERS OF GALAXIES . 109 CONTENTS XVII 4.2 THE POPULATIONS AND SPATIAL DISTRIBUTION OF GALAXIES IN CLUSTERS . 112 4.3 ISOTHERMAL GAS SPHERES . 113 4.3.1 THE LUMINOSITY FUNCTION FOR CLUSTER GALAXIES . 119 4.3.2 SUMMARY OF THE PROPERTIES OF RICH CLUSTERS OF GALAXIES . 120 4.4 DYNAMICAL ESTIMATES OF THE MASSES OF CLUSTERS OF GALAXIES . 121 4.5 X-RAY OBSERVATIONS OF HOT GAS IN CLUSTERS OF GALAXIES . 124 4.5.1 DETERMINING THE GRAVITATIONAL POTENTIAL . 125 4.5.2 SCALING RELATIONS . 129 4.5.3 COOLING FLOWS . 131 4.6 THE SUNYAEV-ZELDOVICH EFFECT IN HOT INTRACLUSTER GAS . 135 4.7 GRAVITATIONAL LENSING BY GALAXIES AND CLUSTERS OF GALAXIES . 141 4.7.1 BASIC THEORY OF GRAVITATIONAL DEFLECTIONS . 142 4.7.2 MAGNIFICATION OF IMAGES BY GRAVITATIONAL LENSING . 144 4.7.3 EXTENDED DEFLECTORS . 147 4.7.4 GRAVITATIONAL LENSING, ASTROPHYSICS AND COSMOLOGY . 150 4.8 FORMS OF DARK MATTER . 152 4.8.1 BARYONIC DARK MATTER . 152 4.8.2 NEUTRINOS WITH FINITE REST MASS . 155 4.8.3 ASTROPHYSICAL CONSTRAINTS . 156 4.9 REFLECTIONS . 157 REFERENCES . 158 PART II THE BASIC FRAMEWORK 5 THE THEORETICAL FRAMEWORK . 165 5.1 THE COSMOLOGICAL PRINCIPLE . 165 5.2 ISOTROPIC CURVED SPACES . 167 5.2.1 ISOTROPIC 2-DIMENSIONAL SPHERICAL GEOMETRIES . 168 5.2.2 GENERAL SOLUTION FOR ISOTROPIC 2-SPACES . 169 5.3 THE SPACE-TIME METRIC FOR ISOTROPIC CURVED SPACES . 172 5.4 THE ROBERTSON-WALKER METRIC . 175 5.5 OBSERVATIONS IN COSMOLOGY . 179 5.5.1 THE COSMOLOGICAL REDSHIFT . 179 5.5.2 HUBBLE ' S LAW . 184 5.5.3 ANGULAR DIAMETERS . 185 5.5.4 APPARENT INTENSITIES . 186 5.5.5 NUMBER DENSITIES . 189 5.5.6 THE AGE OF THE UNIVERSE . 190 5.6 SUMMARY . 190 REFERENCES . 191 6 AN INTRODUCTION TO RELATIVISTIC GRAVITY . 193 6.1 THE PRINCIPLE OF EQUIVALENCE . 194 6.2 THE GRAVITATIONAL REDSHIFT . 197 XVIII CONTENTS 6.3 THE BENDING OF LIGHT RAYS . 200 6.4 FURTHER COMPLICATIONS . 202 6.5 THE ROUTE TO GENERAL RELATIVITY . 205 6.5.1 FOUR-TENSORS IN RELATIVITY . 206 6.5.2 WHAT EINSTEIN DID . 208 6.6 EXPERIMENTAL AND OBSERVATIONAL TESTS OF GENERAL RELATIVITY . 210 6.6.1 PARAMETERISED POST-NEWTONIAN MODELS . 211 6.6.2 THE FOUR TESTS OF GENERAL RELATIVITY . 213 6.6.3 PULSARS AND GENERAL RELATIVITY . 217 6.6.4 VARIATION OF THE GRAVITATIONAL CONSTANT WITH COSMIC EPOCH . 222 6.7 SUMMARY . 223 REFERENCES . 224 7 THE FRIEDMAN WORLD MODELS . 227 7.1 EINSTEIN ' S FIELD EQUATIONS . 227 7.2 THE STANDARD FRIEDMAN WORLD MODELS WITH A = 0 . 231 7.2.1 THE NEWTONIAN ANALOGUE OF THE FRIEDMAN WORLD MODELS . 231 7.2.2 THE CRITICAL DENSITY AND THE DENSITY PARAMETER . 233 7.2.3 THE DYNAMICS OF THE FRIEDMAN MODELS WITH A = 0 . 234 7.2.4 PEDAGOGICAL DIGRESSION: THE ROBERTSON-WALKER METRIC FOR AN EMPTY UNIVERSE . 237 7.3 FRIEDMAN MODELS WITH NON-ZERO COSMOLOGICAL CONSTANT . 240 7.3.1 THE COSMOLOGICAL CONSTANT AND THE VACUUM ENERGY DENSITY . 240 7.3.2 VARYING THE EQUATION OF STATE OF THE VACUUM ENERGY . 243 7.3.3 THE DYNAMICS OF WORLD MODELS WITH A # 0: GENERAL CONSIDERATIONS . 244 7.4 OBSERVATIONS IN COSMOLOGY . 249 7.4.1 THE DECELERATION PARAMETER . 249 7.4.2 THE COSMIC TIME-REDSHIFT RELATION . 249 7.4.3 DISTANCE MEASURES AS A FUNCTION OF REDSHIFT . 251 7.4.4 ANGULAR DIAMETER-REDSHIFT RELATIONS . 255 7.4.5 FLUX DENSITY-REDSHIFT RELATIONS . 255 7.4.6 THE COMOVING VOLUME WITHIN REDSHIFT Z . 259 7.5 ANGULAR DIAMETER DISTANCES BETWEEN ANY TWO REDSHIFTS . 262 7.5.1 MODELS WITH 92A = 0 . 262 7.5.2 MODELS WITH Q A 0 . 264 7.6 THE FLATNESS PROBLEM . 264 7.7 INHOMOGENEOUS WORLD MODELS . 265 REFERENCES . 270 CONTENTS XIX 8 THE DETERMINATION OF COSMOLOGICAL PARAMETERS . 273 8.1 THE COSMOLOGICAL PARAMETERS . 274 8.2 TESTING THE FRIEDMAN MODELS . 275 8.3 HUBBLE ' S CONSTANT HO . 279 8.4 THE AGE OF THE UNIVERSE TO . 283 8.5 THE DECELERATION PARAMETER QO . 286 8.5.1 THE REDSHIFT-MAGNITUDE RELATION FOR THE BRIGHTEST GALAXIES IN CLUSTERS . 286 8.5.2 THE REDSHIFT: K MAGNITUDE RELATION FOR RADIO GALAXIES - A CAUTIONARY TALE . 288 8.5.3 THE REDSHIFT-MAGNITUDE RELATION FOR TYPE LA SUPERNOVAE . 290 8.5.4 THE NUMBER COUNTS OF GALAXIES . 292 8.5.5 THE ANGULAR DIAMETER-REDSHIFT TEST . 294 8.6 Q A AND THE STATISTICS OF GRAVITATIONAL LENSES . 297 8.7 THE DENSITY PARAMETER 920 . 300 8.8 SUMMARY . 303 REFERENCES . 303 9 THE THERMAL HISTORY OF THE UNIVERSE . 307 9.1 RADIATION-DOMINATED UNIVERSES . 307 9.2 THE MATTER AND RADIATION CONTENT OF THE UNIVERSE . 310 9.3 THE EPOCH OF RECOMBINATION . 313 9.4 THE RADIATION-DOMINATED ERA . 317 9.5 THE SPEED OF SOUND AS A FUNCTION OF COSMIC EPOCH . 321 9.6 EARLY EPOCHS . 322 REFERENCES . 323 10 NUCLEOSYNTHESIS IN THE EARLY UNIVERSE . 325 10.1 EQUILIBRIUM ABUNDANCES IN THE EARLY UNIVERSE . 326 10.2 THE DECOUPLING OF NEUTRINOS AND THE NEUTRINO BARRIER . 327 10.3 THE SYNTHESIS OF THE LIGHT ELEMENTS . 328 10.4 THE ABUNDANCES OF THE LIGHT ELEMENTS . 331 10.4.1 DETERMINATIONS OF THE OBSERVED ABUNDANCES OF THE LIGHT ELEMENTS . 333 10.4.2 COMPARISON OF THEORY AND OBSERVATIONS . 337 10.5 THE NEUTRINO BACKGROUND TEMPERATURE AND THE VALUE OF X . 339 10.6 BARYON-SYMMETRIC UNIVERSES . 341 REFERENCES . 346 PART III THE DEVELOPMENT OF PRIMORDIAL FLUCTUATIONS UNDER GRAVITY 11 THE EVOLUTION OF DENSITY PERTURBATIONS IN THE STANDARD BIG BANG . 349 11.1 THE OBJECT OF THE EXERCISE . 349 11.1.1 PRELIMINARY CONSIDERATIONS . 350 XX CONTENTS 11.1.2 A WARNING . 351 11.2 THE NON-RELATIVISTIC WAVE EQUATION FOR THE GROWTH OF SMALL PERTURBATIONS IN THE EXPANDING UNIVERSE . 351 11.3 THE JEANS ' INSTABILITY . 356 11.4 THE JEANS ' INSTABILITY IN AN EXPANDING MEDIUM . 358 11.4.1 SMALL PERTURBATION ANALYSIS . 358 11.4.2 PERTURBING THE FRIEDMAN SOLUTIONS . 360 11.4.3 FALLING POLES . 362 11.4.4 THE GENERAL SOLUTION . 364 11.5 THE EVOLUTION OF PECULIAR VELOCITIES IN THE EXPANDING UNIVERSE . 367 11.6 THE RELATIVISTIC CASE . 369 11.7 THE BASIC PROBLEM . 372 REFERENCES . 373 12 MORE TOOLS AND PROBLEMS . 375 12.1 HORIZONS AND THE HORIZON PROBLEM . 376 12.2 PEDAGOGICAL INTERLUDE: SPACE-TIME DIAGRAMS FOR THE STANDARD WORLD MODELS . 379 12.2.1 DISTANCE AND TIMES . 379 12.2.2 THE PAST LIGHT CONE . 381 12.2.3 THE CRITICAL WORLD MODEL 920 = 1, 92A =0 . 383 12.2.4 THE REFERENCE WORLD MODEL Q Q = 0.3, 92A =0.7 . 386 12.3 SUPERHORIZON SCALES . 388 12.4 THE ADIABATIC BARYONIC FLUCTUATIONS IN THE STANDARD BIG BANG . 392 12.4.1 THE RADIATION-DOMINATED ERA . 393 12.4.2 THE MATTER-DOMINATED ERA . 394 12.5 DISSIPATION PROCESSES IN THE PRE-RECOMBINATION ERA . 397 12.6 ISOTHERMAL PERTURBATIONS . 399 12.7 BARYONIC THEORIES OF GALAXY FORMATION . 403 12.7.1 THE ADIABATIC SCENARIO . 403 12.7.2 THE ISOTHERMAL SCENARIO . 405 12.8 WHAT WENT WRONG? . 406 REFERENCES . 408 13 DARK MATTER AND GALAXY FORMATION . 411 13.1 INTRODUCTION . 411 13.2 FORMS OF NON-BARYONIC DARK MATTER . 413 13.2.1 AXIONS . 414 13.2.2 NEUTRINOS . 414 13.3 WIMPS AS DARK MATTER PARTICLES . 415 13.3.1 SUPPRESSION MECHANISM FOR WIMPS . 415 13.3.2 EXPERIMENTAL LIMITS . 418 13.4 METRIC PERTURBATIONS AND HOT AND COLD DARK MATTER . 420 CONTENTS XXI 13.5 FREE STREAMING AND THE DAMPING OF HOT DARK MATTER PERTURBATIONS . 421 13.6 GRAVITATIONAL INSTABILITIES IN THE PRESENCE OF DARK MATTER . 423 13.7 THE EVOLUTION OF HOT AND COLD DARK MATTER PERTURBATIONS . 426 13.7.1 HOT DARK MATTER SCENARIO . 426 13.7.2 COLD DARK MATTER SCENARIO . 427 13.8 CONCLUSION . 430 REFERENCES . 430 14 CORRELATION FUNCTIONS AND THE SPECTRUM OF THE INITIAL FLUCTUATIONS . 433 14.1 THE TWO-POINT CORRELATION FUNCTION FOR GALAXIES . 434 14.2 THE PERTURBATION SPECTRUM . 436 14.2.1 THE RELATION BETWEEN ^(R) AND THE POWER SPECTRUM OF THE FLUCTUATIONS . 437 14.2.2 POWER SPECTRA OF POWER-LAW FORM . 439 14.2.3 THE HARRISON-ZELDOVICH POWER SPECTRUM . 440 14.3 THE EVOLUTION OF THE INITIAL PERTURBATION SPECTRUM: TRANSFER FUNCTIONS . 442 14.3.1 ADIABATIC COLD DARK MATTER . 443 14.3.2 ADIABATIC HOT DARK MATTER . 446 14.3.3 ISOCURVATURE COLD DARK MATTER . 446 14.3.4 THE SUBSEQUENT EVOLUTION . 449 14.4 BIASING . 451 14.5 RECONSTRUCTING THE PROCESSED INITIAL POWER SPECTRUM . 455 14.5.1 REDSHIFT BIASES . 456 14.5.2 NON-LINEAR DEVELOPMENT OF THE DENSITY PERTURBATIONS . 457 14.5.3 THE ROLE OF BARYON PERTURBATIONS . 459 14.6 BARYON ACOUSTIC OSCILLATIONS IN THE POWER SPECTRUM OF GALAXIES . 461 14.6.1 THE 2DF GALAXY REDSHIFT SURVEY . 462 14.6.2 THE SLOAN DIGITAL SKY SURVEY . 462 14.6.3 PUTTING IT ALL TOGETHER . 465 14.7 VARIATIONS ON A THEME OF COLD DARK MATTER . 465 REFERENCES . 470 15 THE COSMIC MICRO WAVE BACKGROUND RADIATION . 473 15.1 THE IONISATION OF THE INTERGALACTIC GAS THROUGH THE EPOCH OF RECOMBINATION . 474 15.2 THE PHYSICAL AND ANGULAR SCALES OF THE FLUCTUATIONS . 476 15.2.1 THE LAST SCATTERING LAYER . 477 15.2.2 THE SILK DAMPING SCALE . 478 15.2.3 PARTICLE AND SOUND HORIZON SCALES ON THE LAST SCATTERING SURFACE . 479 XXII CONTENTS 15.2.4 THE HORIZON SCALE AT THE EPOCH OF EQUALITY OF MATTER AND RADIATION ENERGY DENSITIES . 483 15.2.5 SUMMARY . 484 15.3 THE POWER SPECTRUM OF SPATIAL FLUCTUATIONS IN THE COSMIC MICROWAVE BACKGROUND RADIATION . 485 15.3.1 THE STATISTICAL DESCRIPTION OF THE TEMPERATURE FLUCTUATIONS . 485 15.3.2 THE POWER-SPECTRUM OF FLUCTUATIONS IN THE INTENSITY OF THE COSMIC MICROWAVE BACKGROUND RADIATION . 488 15.4 LARGE ANGULAR SCALES . 490 15.4.1 THE SACHS-WOLFE EFFECT: PHYSICAL ARGUMENTS . 491 15.4.2 THE INTEGRATED SACHS-WOLFE AND REES-SCIAMA EFFECTS . 494 15.4.3 PRIMORDIAL GRAVITATIONAL WAVES . 496 15.5 INTERMEDIATE ANGULAR SCALES: THE ACOUSTIC PEAKS . 498 15.6 SMALL ANGULAR SCALES . 505 15.6.1 STATISTICAL AND SILK DAMPING . 505 15.6.2 THE SUNYAEV-ZELDOVICH EFFECT IN CLUSTERS OF GALAXIES . 505 15.6.3 CONFUSION DUE TO DISCRETE SOURCES . 508 15.7 THE REIONISED INTERGALACTIC GAS . 509 15.8 THE POLARISATION OF THE COSMIC MICROWAVE BACKGROUND RADIATION . 511 15.8.1 THE POLARISATION MECHANISM FOR THE COSMIC MICROWAVE BACKGROUND RADIATION . 511 15.8.2 POLARISATION FROM THE LAST SCATTERING LAYER AT THE EPOCH OF RECOMBINATION . 512 15.8.3 POLARISATION FROM THE EPOCH OF REIONISATION . 516 15.8.4 PRIMORDIAL GRAVITATIONAL WAVES . 517 15.8.5 WEAK GRAVITATIONAL LENSING . 518 15.9 THE DETERMINATION OF COSMOLOGICAL PARAMETERS . 523 15.10 DARK ENERGY SURVEY . 526 15.11 OTHER SOURCES OF PRIMORDIAL FLUCTUATIONS . 529 15.12 REFLECTIONS . 531 REFERENCES . 532 PART IV THE POST-RECOMBINATION UNIVERSE 16 THE POST-RECOMBINATION ERA . 539 16.1 INTRODUCTION . 539 16.2 THE NON-LINEAR COLLAPSE OF DENSITY PERTURBATIONS . 541 16.2.1 ISOTROPIC TOP-HAT COLLAPSE . 541 16.2.2 THE ZELDOVICH APPROXIMATION . 544 16.3 THE ROLE OF DISSIPATION . 546 CONTENTS XXIII 16.4 THE PRESS-SCHECHTER MASS FUNCTION . 550 16.4.1 ELEMENTARY THEORY . 550 16.4.2 EVALUATION . 553 REFERENCES . 558 17 THE EVOLUTION OF GALAXIES AND ACTIVE GALAXIES WITH COSMIC EPOCH . 561 17.1 INTRODUCTION . 561 17.2 COUNTS OF GALAXIES AND ACTIVE GALAXIES . 563 17.2.1 EUCLIDEAN SOURCE COUNTS . 564 17.2.2 SOURCE COUNTS FOR THE STANDARD WORLD MODELS . 565 17.2.3 SUBMILLIMETRE COUNTS OF DUSTY GALAXIES . 571 17.2.4 NUMBER COUNTS IN MODELS WITH FINITE 92A . 573 17.2.5 FLUCTUATIONS IN THE BACKGROUND RADIATION DUE TO DISCRETE SOURCES . 575 17.3 THE V / VMAX OR LUMINOSITY-VOLUME TEST . 577 17.4 THE BACKGROUND RADIATION . 580 17.4.1 THE BACKGROUND RADIATION AND THE SOURCE COUNTS . 581 17.4.2 EVALUATING THE BACKGROUND DUE TO DISCRETE SOURCES. . 581 17.4.3 THE EFFECTS OF EVOLUTION: THE CASE OF THE RADIO BACKGROUND EMISSION . 583 17.5 THE EVOLUTION OF ACTIVE GALAXIES WITH COSMIC EPOCH . 585 17.5.1 NUMBER COUNTS AND V/ VMAX TESTS FOR EXTRAGALACTIC RADIO SOURCES . 585 17.5.2 RADIO QUIET QUASARS . 589 17.5.3 X-RAY SOURCE COUNTS . 595 17.5.4 X-RAY CLUSTERS OF GALAXIES . 600 17.6 INFRARED AND SUBMILLIMETRE NUMBER COUNTS . 603 17.7 COUNTS OF GALAXIES . 608 17.8 CLUSTERS OF GALAXIES . 613 REFERENCES . 615 18 THE INTERGALACTIC MEDIUM . 621 18.1 THE BACKGROUND EMISSION AND ABSORPTION OF THE INTERGALACTIC GAS . 622 18.2 THE GUNN-PETERSON TEST . 623 18.3 THE LYMAN-O ABSORPTION CLOUDS . 626 18.3.1 THE PROPERTIES OF THE LYMAN-A ABSORPTION CLOUDS . 626 18.3.2 THE NATURE OF THE CLOUDS IN THE LYMAN-A FOREST . 632 18.3.3 THE EVOLUTION OF LYMAN-A ABSORPTION CLOUDS WITH COSMIC EPOCH . 633 18.3.4 THE POWER-SPECTRUM OF THE LYMAN-A FOREST . 634 18.4 THE LUKE-WARM INTERGALACTIC GAS . 636 18.4.1 A SALUTARY TALE: THE X-RAY BACKGROUND AS A COSMIC CONSPIRACY . 636 18.4.2 THE COLLISIONAL EXCITATION OF THE INTERGALACTIC GAS . 637 XXIV CONTENTS 18.4.3 THE LYMAN CONTINUUM OPACITY OF THE INTERGALACTIC GAS . 639 18.4.4 THE PROXIMITY EFFECT AND THE DIFFUSE ULTRAVIOLET BACKGROUND RADIATION AT LARGE REDSHIFTS . 644 18.5 THE POST-REIONISATION EVOLUTION OF THE INTERGALACTIC MEDIUM . 647 18.6 THE EPOCH OF REIONISATION . 651 18.7 THE ORIGIN OF MAGNETIC FIELDS . 655 18.7.1 THE BIERMANN BATTERY . 657 18.7.2 TURBULENT AMPLIFICATION OF MAGNETIC FIELDS . 658 18.7.3 LARGE-SCALE MAGNETIC FIELDS FROM EXTRAGALACTIC RADIO SOURCES . 659 REFERENCES . 660 19 MAKING REAL GALAXIES . 665 19.1 STAR AND ELEMENT FORMATION IN GALAXIES . 666 19.1.1 THE BACKGROUND RADIATION AND ELEMENT FORMATION . 666 19.1.2 THE GLOBAL STAR FORMATION RATE FROM OPTICAL AND ULTRAVIOLET OBSERVATIONS OF STAR-FORMING GALAXIES . 670 19.1.3 THE LYMAN-BREAK GALAXIES . 673 19.1.4 THE HUBBLE DEEP AND ULTRA DEEP FIELDS . 673 19.2 THE COSMIC STAR FORMATION RATE . 679 19.3 THE EQUATIONS OF COSMIC CHEMICAL EVOLUTION . 686 19.4 THE ABUNDANCES OF ELEMENTS IN LYMAN-A ABSORPTION SYSTEMS . 688 19.5 THE OLD RED GALAXIES . 692 19.6 THE ORIGIN OF ROTATION . 696 19.7 PUTTING IT ALL TOGETHER: SEMI-ANALYTIC MODELS OF GALAXY FORMATION . 699 REFERENCES . 706 20 THE VERY EARLY UNIVERSE . 711 20.1 THE BIG PROBLEMS . 711 20.1.1 THE HORIZON PROBLEM . 712 20.1.2 THE FLATNESS PROBLEM . 712 20.1.3 THE BARYON-ASYMMETRY PROBLEM . 713 20.1.4 THE PRIMORDIAL FLUCTUATION PROBLEM . 713 20.1.5 THE VALUES OF THE COSMOLOGICAL PARAMETERS . 714 20.1.6 THE WAY AHEAD . 714 20.2 THE LIMITS OF OBSERVATION . 715 20.3 THE ANTHROPIC COSMOLOGICAL PRINCIPLE . 716 20.4 THE INFLATIONARY PARADIGM: HISTORICAL BACKGROUND . 717 20.5 THE ORIGIN OF THE SPECTRUM OF PRIMORDIAL PERTURBATIONS . 720 20.5.1 THE EQUATION OF STATE . 720 20.5.2 THE DURATION OF THE INFLATIONARY PHASE . 721 20.5.3 THE SHRINKING HUBBLE SPHERE . 721 CONTENTS XXV 20.5.4 SCALAR FIELDS . 724 20.5.5 THE QUANTISED HARMONIC OSCILLATOR . 726 20.5.6 THE SPECTRUM OF FLUCTUATIONS IN THE SCALAR FIELD . 727 20.6 BARYOGENESIS . 731 20.7 THE PLANCK ERA . 732 REFERENCES . 734 MAIN INDEX . 737 AUTHOR INDEX . 767
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spelling Longair, Malcolm 1941- Verfasser (DE-588)120637561 aut
Galaxy Formation Malcolm S. Longair
Third edition
202303
Berlin Springer [2023]
XXV, 772 Seiten Illustrationen, Diagramme 23.5 cm x 15.5 cm
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graduate textbook cosmology
galaxy formation
development of structure in the Universe
cosmological models
contemporary observations of the Universe in all wavebands
the physics of cosmology and galaxy formation
great problems of cosmology
astrophysical cosmology textbook
Kosmologie (DE-588)4114294-9 s
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Galaxie (DE-588)4057375-8 s
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spellingShingle Longair, Malcolm 1941-
Galaxy Formation
Astrophysik (DE-588)4003326-0 gnd
Entstehung (DE-588)4156614-2 gnd
Kosmologie (DE-588)4114294-9 gnd
Galaxie (DE-588)4057375-8 gnd
subject_GND (DE-588)4003326-0
(DE-588)4156614-2
(DE-588)4114294-9
(DE-588)4057375-8
title Galaxy Formation
title_auth Galaxy Formation
title_exact_search Galaxy Formation
title_exact_search_txtP Galaxy Formation
title_full Galaxy Formation Malcolm S. Longair
title_fullStr Galaxy Formation Malcolm S. Longair
title_full_unstemmed Galaxy Formation Malcolm S. Longair
title_short Galaxy Formation
title_sort galaxy formation
topic Astrophysik (DE-588)4003326-0 gnd
Entstehung (DE-588)4156614-2 gnd
Kosmologie (DE-588)4114294-9 gnd
Galaxie (DE-588)4057375-8 gnd
topic_facet Astrophysik
Entstehung
Kosmologie
Galaxie
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