Black holes in higher dimensions
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| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2012
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| Ausgabe: | 1. publ. |
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| 245 | 1 | 0 | |a Black holes in higher dimensions |c ed. by Gary T. Horowitz |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2012 | |
| 300 | |a XIII, 422 Seiten |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturangaben | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Black holes (Astronomy) |x Mathematical models | |
| 650 | 4 | |a Hyperspace | |
| 650 | 7 | |a SCIENCE / Cosmology |2 bisacsh | |
| 650 | 0 | 7 | |a Schwarzes Loch |0 (DE-588)4053793-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Schwarzes Loch |0 (DE-588)4053793-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Horowitz, Gary T. |d 1955- |e Sonstige |0 (DE-588)1027070280 |4 oth | |
| 856 | 4 | |u http://assets.cambridge.org/97811070/13452/cover/9781107013452.jpg |3 Cover image | |
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| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025124234&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Klappentext |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-025124234 | ||
Datensatz im Suchindex
| _version_ | 1804149272770248705 |
|---|---|
| adam_text | Contents
List of contributors page
ix
Preface
xi
Part I Introduction
1
1
Black holes in four dimensions
3
GARY T. HOROWITZ
1.1 Schwarzschild
solution
3
1.2 Reissner-Nordström
solution
6
1.3
Kerr solution
10
1.4
Black holes with nonzero cosmological constant
14
1.5
General properties of four-dimensional black holes
16
1.6
Black hole thermodynamics
20
Part II Kaluza-Klein theory
27
2
The Gregory-Laflamme instability
29
RUTH GREGORY
2.1
Overview
29
2.2
Black holes in higher dimensions
30
2.3
A thermodynamic argument for instability
32
2.4
Perturbing the black string
33
2.5
Consequences of the instability
40
3
Final state of Gregory-Laflamme instability
44
LUIS LEHNER AND
FRANS PRETORIUS
3.1
Overview
44
3.2
Background
45
3.3
Numerical approach
46
vi
Contents
3.4 Evolution
of an unstable black string
54
3.5
Speculations and open questions
60
4
General black holes in Kaluza-Klein theory
69
GARY T. HOROWITZ AND TOBY WISEMAN
4.1
Energy in Kaluza-Klein theory
69
4.2
Homogeneous black hole solutions
72
4.3
Inhomogeneous black hole solutions
81
Part III Asymptotically flat solutions
99
5
Myers-Perry black holes
101
ROBERT C. MYERS
5.1
Static black holes
101
5.2
Spinning black holes
103
5.3
Appendix A: Mass and angular momentum
126
5.4
Appendix B: A case study of
d
= 5 128
6
Black rings
134
ROBERTO EMPARAN AND HARVEY S. REALL
6.1
Introduction
134
6.2
Ring coordinates
135
6.3
Singly spinning black ring solution
138
6.4
Black ring with two angular momenta
145
6.5
Multiple black hole solutions
148
6.6
Stability
152
Part IV General properties
157
7
Constraints on the topology of higher-dimensional black holes
159
GREGORY J. GALLOWAY
7.1
Introduction
159
7.2
Hawking
s
theorem on black hole topology
160
7.3
Marginally outer-trapped surfaces
161
7.4
A generalization of Hawking s theorem and some
topological restrictions
164
7.5
The proof of Theorem
7.4.1 166
7.6
The borderline case
170
7.7
Effect of the cosmological constant
171
7.8
Further constraints on black hole topology
173
7.9
Final remarks
176
Contents
vii
8 Blackfolds 180
ROBERTO EMPARAN
8.1
Introduction
180
8.2
Effective theory for black hole motion
181
8.3
Effective blackfold theory
184
8.4
Stationary blackfolds, action principle, and thermodynamics
190
8.5
Examples of blackfold solutions
196
8.6
Gregory-Laflamme instability and black
brane
viscosity
204
8.7
Extensions
208
8.8
Appendix: Geometry of submanifolds
209
9
Algebraically special solutions in higher dimensions
213
HARVEY S. REALL
9.1
Introduction
213
9.2
CMPP classification
214
9.3
De Smet
classification
224
9.4
Other approaches
227
9.5
Outlook
229
10
Numerical construction of static and stationary black holes
233
TOBY WISEMAN
10.1
Introduction
233
10.2
Static vacuum black holes
236
10.3
Stationary vacuum solutions
257
Part V Advanced topics
271
11
Black holes and branes in supergravity
273
DONALD MAROLF
11.1
Introduction
273
11.2
Supergravity in eleven dimensions
274
11.3
M-branes: the
BPS
solutions
285
11.4
Kaluza-Klein and dimensional reduction
296
11.5
Branes in
9+1
type II supergravity
304
11.6
Some remarks on string perturbation theory
ЗІЗ
12
The gauge/gravity duality
325
JUAN MALDACENA
12.1
Scalar field in AdS
332
12.2
The
M
= 4
super Yang-Mills/AdSs
x S5
example
335
12.3
The spectrum of states or operators
342
12.4
The radial direction
343
viii Contents
13
The fluid/gravity correspondence
348
VERONIKA
E.
HUBENY,
SHIRAZ
MINWALLA,
MUKUND
RANGAMANI
13.1
Introduction
348
13.2
Relativistic fluid
dynamics
353
13.3
Perturbative
construction of gravity solutions
359
13.4
Results at second order
363
13.5
Specific fluid flows and their gravitational analogue
370
13.6
Extensions beyond
conformai
fluids
374
13.7
Relation to other developments
380
13.8
Summary
382
13.9
Epilogue: Einstein and Boltzmann
383
14
Horizons, holography and condensed matter
387
SEAN A. HARTNOLL
14.1
Introduction
387
14.2
Preliminary holographic notions
388
14.3
Brief condensed matter motivation
392
14.4
Holography with a chemical potential
396
14.5
The planar
Reissner-Nordström-AdS
black hole
397
14.6
Holographic superconductors
400
14.7
Electron stars
405
14.8
Dilatonic
scalarsi
Lifshitz and beyond
410
14.9
Horizons, fractionalisation and black hole information
412
Index
420
Black Holes in
Higher
Dimensions
Black holes
are one of the most remarkable predictions of Einstein s general relativity.
Now widely accepted by the scientific community, most work has focused on black
holes in our familiar four spacetime dimensions. In recent years, however, ideas in
brane-world cosmology, string theory, and gauge/gravity duality have all motivated a
study of black holes in more than four dimensions, with surprising results. In higher
dimensions, black holes exist with exotic shapes and unusual dynamics.
Edited by leading expert Gary Horowitz, this exciting book is the first devoted to
this new field. The major discoveries are explained by the people who made them:
for example, Rob Myers describes the Myers-Perry solutions that represent rotating
black holes in higher dimensions; Ruth Gregory describes the Gregory-Laflamme
instability of black strings; and Juan Maldacena introduces gauge/gravity duality,
the remarkable correspondence that relates a gravitational theory to nongravitational
physics. There are two additional chapters on this duality, explaining how black holes
can be used to describe relativistic fluids and aspects of condensed matter physics.
Accessible to anyone who has taken a standard graduate course in general relativity,
this book provides an important resource for graduate students and for researchers in
general relativity, string theory, and high energy physics.
Cover illustration: image courtesy of Toby Wiseman, Imperial College London.
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| language | English |
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| spelling | Black holes in higher dimensions ed. by Gary T. Horowitz 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2012 XIII, 422 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Literaturangaben Mathematisches Modell Black holes (Astronomy) Mathematical models Hyperspace SCIENCE / Cosmology bisacsh Schwarzes Loch (DE-588)4053793-6 gnd rswk-swf Schwarzes Loch (DE-588)4053793-6 s DE-604 Horowitz, Gary T. 1955- Sonstige (DE-588)1027070280 oth http://assets.cambridge.org/97811070/13452/cover/9781107013452.jpg Cover image Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025124234&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025124234&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Black holes in higher dimensions Mathematisches Modell Black holes (Astronomy) Mathematical models Hyperspace SCIENCE / Cosmology bisacsh Schwarzes Loch (DE-588)4053793-6 gnd |
| subject_GND | (DE-588)4053793-6 |
| title | Black holes in higher dimensions |
| title_auth | Black holes in higher dimensions |
| title_exact_search | Black holes in higher dimensions |
| title_full | Black holes in higher dimensions ed. by Gary T. Horowitz |
| title_fullStr | Black holes in higher dimensions ed. by Gary T. Horowitz |
| title_full_unstemmed | Black holes in higher dimensions ed. by Gary T. Horowitz |
| title_short | Black holes in higher dimensions |
| title_sort | black holes in higher dimensions |
| topic | Mathematisches Modell Black holes (Astronomy) Mathematical models Hyperspace SCIENCE / Cosmology bisacsh Schwarzes Loch (DE-588)4053793-6 gnd |
| topic_facet | Mathematisches Modell Black holes (Astronomy) Mathematical models Hyperspace SCIENCE / Cosmology Schwarzes Loch |
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