Gravitation and inertia

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Hauptverfasser: Ciufolini, Ignazio 1951- (VerfasserIn), Wheeler, John Archibald 1911-2008 (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Princeton, NJ Princeton Univ. Press 1995
Schriftenreihe:Princeton series in physics
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Datensatz im Suchindex

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adam_text GRAVITATION AND INERTIA IGNAZIO CIUFOLINI AND JOHN ARCHIBALD WHEELER PRINCETON SERIES IN PHYSICS P R I N C E T O N U N I V E R S I T Y PRESS * P R I N C E T O N , N E W JERSEY CONTENTS PREFACE IX CHART OF MAIN TOPICS XII 1. A FIRST TOUR L 1.1 SPACETIME CURVATURE, GRAVITATION, AND INERTIA 1 1.2 RELATION OF GRAVITY TO THE OTHER FORCES OF NATURE 9 REFERENCES 10 2. EINSTEIN GEOMETRODYNAMICS 13 2.1 THE EQUIVALENCE PRINCIPLE 13 2.2 THE GEOMETRICAL STRUCTURE 19 2.3 THE FIELD EQUATION 21 2.4 EQUATIONS OF MOTION 27 2.5 THE GEODESIC DEVIATION EQUATION 31 2.6 SOME EXACT SOLUTIONS OF THE FIELD EQUATION 36 2.7 CONSERVATION LAWS 42 2.8 [THE BOUNDARY OF THE BOUNDARY PRINCIPLE AND GEOMETRODYNAMICS] 49 2.9 BLACK HOLES AND SINGULARITIES 61 2.10 GRAVITATIONAL WAVES 71 REFERENCES 78 3. TESTS OF EINSTEIN GEOMETRODYNAMICS 87 3.1 INTRODUCTION 87 3.2 TESTS OF THE EQUIVALENCE PRINCIPLE 90 3.2.1 THE WEAK EQUIVALENCE PRINCIPLE 91 3.2.2 GRAVITATIONAL REDSHIFT*GRAVITATIONAL TIME DILATION 97 3.2.3 THE EQUIVALENCE PRINCIPLE AND SPACETIME LOCATION INVARIANCE 109 3.2.4 THE EQUIVALENCE PRINCIPLE AND LORENTZ INVARIANCE 111 3.2.5 THE VERY STRONG EQUIVALENCE PRINCIPLE 112 VI CONTENTS 3.3 ACTIVE AND PASSIVE GRAVITATIONAL MASS 115 3.4 TESTS OF THE GEOMETRICAL STRUCTURE AND OF THE GEODESIC EQUATION OF MOTION 116 3.4.1 GRAVITATIONAL DEFLECTION OF ELECTROMAGNETIC WAVES 117 3.4.2 DELAY OF ELECTROMAGNETIC WAVES 122 3.4.3 [DE SITTER OR GEODETIC EFFECT AND LENSE-THIRRING EFFECT] 128 3.4.4 OTHER TESTS OF SPACE CURVATURE 138 3.5 OTHER TESTS OF EINSTEIN GENERAL RELATIVITY, OF THE EQUATIONS OF MOTION, AND OF THE FIELD EQUATIONS 139 3.5.1 PERICENTER ADVANCE 141 3.6 [PROPOSED TESTS TO MEASURE GRAVITATIONAL WAVES AND GRAVITOMAGNETIC FIELD] 147 3.6.1 [RESONANT DETECTORS] 148 3.6.2 [LIGO: LASER-INTERFEROMETER GRAVITATIONAL-WAVE OBSERVATORY] 154 3.6.3 [MIGO: MICHELSON MILLIMETER WAVE INTERFEROMETER GRAVITATIONAL- WAVE OBSERVATORY] 157 3.6.4 [LISA OR LAGOS: LASER GRAVITATIONAL-WAVE OBSERVATORY IN SPACE] 158 3.6.5 [SAGITTARIUS-LINE: LASER INTERFEROMETER NEAR EARTH] 160 3.6.6 [INTERPLANETARY DOPPLER TRACKING] 162 3.7 [APPENDIX: METRIC THEORIES AND PPN FORMALISM] 163 REFERENCES 168 4. COSMOLOGY, STANDARD MODELS, AND HOMOGENEOUS ROTATING MODELS 185 4.1 THE UNIVERSE ON A LARGE SCALE 185 4.2 HOMOGENEITY, ISOTROPY, AND THE FRIEDMANN COSMOLOGICAL MODELS 193 4.3 [CLOSURE IN TIME VERSUS SPATIAL COMPACTNESS] 220 4.4 SPATIALLY HOMOGENEOUS MODELS: THE BIANCHI TYPES 231 4.5 EXPANSION, ROTATION, SHEAR, AND THE RAYCHAUDHURI EQUATION 234 4.6 [THE GODEL MODEL UNIVERSE] 240 4.7 [BIANCHI IX ROTATING COSMOLOGICAL MODELS] 244 4.8 [COSMOLOGY AND ORIGIN OF INERTIA] 249 REFERENCES 256 CONTENTS VH 5. THE INITIAL-VALUE PROBLEM IN EINSTEIN GEOMETRODYNAMICS 269 5.1 [FROM THE INITIAL-VALUE PROBLEM TO THE ORIGIN OF INERTIA IN EINSTEIN GEOMETRODYNAMICS] 269 5.2 [THE INITIAL-VALUE PROBLEM AND THE INTERPRETATION OF THE ORIGIN OF INERTIA IN GEOMETRODYNAMICS] 271 5.3 [THE SOLUTION OF THE INITIAL-VALUE EQUATIONS] 289 5.4 [THE FINALLY ADJUSTED INITIAL-VALUE DATA FOR THE DYNAMICS OF GEOMETRY] 293 5.5 [THE DYNAMICS OF GEOMETRY] 294 5.6 [FURTHER PERSPECTIVES ON THE CONNECTION BETWEEN MASS-ENERGY THERE AND INERTIA HERE] 295 5.7 [POOR MAN S ACCOUNT OF INERTIAL FRAME] 298 5.8 [A SUMMARY OF ENERGY THERE RULING INERTIA HERE] 300 5.9 [A SUMMARY OF THE INITIAL-VALUE PROBLEM AND DRAGGING OF INERTIAL FRAMES] 303 REFERENCES 306 6. THE GRAVITOMAGNETIC FIELD AND ITS MEASUREMENT 315 6.1 THE GRAVITOMAGNETIC FIELD AND THE MAGNETIC FIELD 315 6.2 GRAVITOMAGNETISM AND THE ORIGIN OF INERTIA IN EINSTEIN GEOMETRODYNAMICS 324 6.3 THE GRAVITOMAGNETIC FIELD IN ASTROPHYSICS 327 6.4 THE PAIL, THE PIROUETTE, AND THE PENDULUM 328 6.5 MEASUREMENT OF THE GRAVITOMAGNETIC FIELD 330 6.6 [THE STANFORD GYROSCOPE: GRAVITY PROBE-B (GP-B)] 332 6.7 [LAGEOSIII] 334 6.8 [ERROR SOURCES AND ERROR BUDGET OF THE LAGEOS III EXPERIMENT] 339 6.9 [OTHER EARTH LABORATORY EXPERIMENTS] 347 6.10 THE DE SITTER OR GEODETIC PRECESSION 351 6.11 [GRAVITOMAGNETISM, DRAGGING OF INERTIAL FRAMES, STATIC GEOMETRY, AND LORENTZ INVARIANCE] 353 6.12 APPENDIX: GYROSCOPES AND INERTIAL FRAMES 361 REFERENCES 374 7. SOME HIGHLIGHTS OF THE PAST AND A SUMMARY OF GEOMETRODYNAMICS AND INERTIA 384 7.1 SOME HIGHLIGHTS OF THE PAST 384 7.2 GEOMETRODYNAMICS AND INERTIA 394 REFERENCES 399 VLII CONTENTS MATHEMATICAL APPENDIX 403 SYMBOLS AND NOTATIONS 437 AUTHOR INDEX 445 SUBJECT INDEX OF MATHEMATICAL APPENDIX 455 SUBJECT INDEX 461 FUNDAMENTAL AND ASTRONOMICAL CONSTANTS AND UNITS 493
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author Ciufolini, Ignazio 1951-
Wheeler, John Archibald 1911-2008
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author_facet Ciufolini, Ignazio 1951-
Wheeler, John Archibald 1911-2008
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physical XI, 498 S. Ill., graph. Darst.
publishDate 1995
publishDateSearch 1995
publishDateSort 1995
publisher Princeton Univ. Press
record_format marc
series2 Princeton series in physics
spellingShingle Ciufolini, Ignazio 1951-
Wheeler, John Archibald 1911-2008
Gravitation and inertia
Gravitationstheorie (DE-588)4158117-9 gnd
Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd
Geometrodynamik (DE-588)4136518-5 gnd
subject_GND (DE-588)4158117-9
(DE-588)4112491-1
(DE-588)4136518-5
title Gravitation and inertia
title_auth Gravitation and inertia
title_exact_search Gravitation and inertia
title_full Gravitation and inertia Ignazio Ciufolini and John Archibald Wheeler
title_fullStr Gravitation and inertia Ignazio Ciufolini and John Archibald Wheeler
title_full_unstemmed Gravitation and inertia Ignazio Ciufolini and John Archibald Wheeler
title_short Gravitation and inertia
title_sort gravitation and inertia
topic Gravitationstheorie (DE-588)4158117-9 gnd
Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd
Geometrodynamik (DE-588)4136518-5 gnd
topic_facet Gravitationstheorie
Allgemeine Relativitätstheorie
Geometrodynamik
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