Spacetime and geometry: an introduction to general relativity
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
San Francisco [u.a.]
Addison Wesley
2004
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 513 S. graph. Darst. |
| ISBN: | 0805387323 9780805387322 |
Internformat
MARC
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| 020 | |a 0805387323 |9 0-8053-8732-3 | ||
| 020 | |a 9780805387322 |9 978-0-8053-8732-2 | ||
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| 100 | 1 | |a Carroll, Sean M. |d 1966- |e Verfasser |0 (DE-588)143150189 |4 aut | |
| 245 | 1 | 0 | |a Spacetime and geometry |b an introduction to general relativity |c Sean Carroll |
| 264 | 1 | |a San Francisco [u.a.] |b Addison Wesley |c 2004 | |
| 300 | |a XIV, 513 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Relatività generale |2 sbt | |
| 650 | 0 | 7 | |a Allgemeine Relativitätstheorie |0 (DE-588)4112491-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Relativitätstheorie |0 (DE-588)4049363-5 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804130523844444160 |
|---|---|
| adam_text | Contents
1 ■ Special
Relativity and Flat
Spacetime 1
1.1
Prelude
1
1.2
Space and Time, Separately and Together
3
1.3
Lorentz
Transformations
12
1.4
Vectors
15
1.5
Dual Vectors (One-Forms)
18
1.6
Tensors
21
1.7
Manipulating Tensors
25
1.8
Maxwell s Equations
29
1.9
Energy and Momentum
30
1.10
Classical Field Theory
37
1.11
Exercises
45
2 ■
Manifolds
48
2.1
Gravity as Geometry
48
2.2
What Is a Manifold?
54
2.3
Vectors Again
63
2.4
Tensors Again
68
2.5
The Metric
71
2.6
An Expanding Universe
76
2.7
Causality
78
2.8
Tensor Densities
82
2.9
Differential Forms
84
2.10
Integration
88
2.11
Exercises
90
3 ■
Curvature
93
3.1
Overview
93
3.2
Covariant Derivatives
94
3.3
Parallel Transport and Geodesies
102
xi
xii Contents
3.4
Properties of Geodesies
108
3.5
The Expanding Universe Revisited
113
3.6
The Riemann Curvature Tensor
121
3.7
Properties of the Riemann Tensor
126
3.8
Symmetries and Killing Vectors
133
3.9
Maximally Symmetric Spaces
139
3.10
Geodesic Deviation
144
3.11
Exercises
146
4 ■
Gravitation
151
4.1
Physics in Curved Spacetime
151
4.2
Einstein s Equation
155
4.3
Lagrangian Formulation
159
4.4
Properties of Einstein s Equation
165
4.5
The Cosmological Constant
171
4.6
Energy Conditions
174
4.7
The Equivalence Principle Revisited
177
4.8
Alternative Theories
181
4.9
Exercises
190
5 ■
The
Schwarzschild
Solution
193
5.1
The
Schwarzschild
Metric
193
5.2
Birkhoff s Theorem
197
5.3
Singularities
204
5.4
Geodesies of
Schwarzschild 205
5.5
Experimental Tests
212
5.6 Schwarzschild
Black Holes
218
5.7
The Maximally Extended
Schwarzschild
Solution
222
5.8
Stars and Black Holes
229
5.9
Exercises
236
6 ■
More General Black Holes
238
6.1
The Black Hole Zoo
238
6.2
Event Horizons
239
6.3
Killing Horizons
244
6.4
Mass, Charge, and Spin
248
6.5
Charged
(Reissner-Nordström)
Black Holes
254
6.6
Rotating (Kerr) Black Holes
261
6.7
The Penrose Process and Black-Hole Thermodynamics
267
6.8
Exercises
272
Contents xiii
7 ■
Perturbation
Theory and Gravitational Radiation
274
7.1
Linearized Gravity and Gauge Transformations
274
7.2
Degrees of Freedom
279
7.3
Newtonian Fields and Photon Trajectories
286
7.4
Gravitational Wave Solutions
293
7.5
Production of Gravitational Waves
300
7.6
Energy Loss Due to Gravitational Radiation
307
7.7
Detection of Gravitational Waves
315
7.8
Exercises
320
8 ■
Cosmology
323
8.1
Maximally Symmetric Universes
323
8.2
Robertson-Walker Metrics
329
8.3
The
Friedmann
Equation
333
8.4
Evolution of the Scale Factor
338
8.5
Redshifts and Distances
344
8.6
Gravitational Lensing
349
8.7
Our Universe
355
8.8
Inflation
365
8.9
Exercises
374
9 ■
Quantum Field Theory in Curved Spacetime
376
9.1
Introduction
376
9.2
Quantum Mechanics
378
9.3
Quantum Field Theory in Flat Spacetime
385
9.4
Quantum Field Theory in Curved Spacetime
394
9.5
The
Unruh
Effect
402
9.6
The Hawking Effect and Black Hole Evaporation
412
APPENDIXES
423
A
■
Maps between Manifolds
423
В
■
Diffeomorphisms and Lie Derivatives
429
С
■
Submanifolds
439
D
■
Hypersurfaces
443
xiv Contents
E
■ Stokes s Theorem 453
F
■
Geodesie
Congruences
459
G
■
Conformai Transformations
467
H
■
Conformai
Diagrams
471
I
■
The Parallel Propagator
479
J
■
Noncoordinate
Bases
483
Bibliography
495
Index
501
|
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| ctrlnum | (OCoLC)249135597 (DE-599)BVBBV017836787 |
| dewey-full | 530.11 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.11 |
| dewey-search | 530.11 |
| dewey-sort | 3530.11 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV017836787 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:22:24Z |
| institution | BVB |
| isbn | 0805387323 9780805387322 |
| language | English |
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| physical | XIV, 513 S. graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
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| publisher | Addison Wesley |
| record_format | marc |
| spelling | Carroll, Sean M. 1966- Verfasser (DE-588)143150189 aut Spacetime and geometry an introduction to general relativity Sean Carroll San Francisco [u.a.] Addison Wesley 2004 XIV, 513 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Relatività generale sbt Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd rswk-swf Relativitätstheorie (DE-588)4049363-5 gnd rswk-swf Allgemeine Relativitätstheorie (DE-588)4112491-1 s DE-604 Relativitätstheorie (DE-588)4049363-5 s 1\p DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010706733&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Carroll, Sean M. 1966- Spacetime and geometry an introduction to general relativity Relatività generale sbt Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd Relativitätstheorie (DE-588)4049363-5 gnd |
| subject_GND | (DE-588)4112491-1 (DE-588)4049363-5 |
| title | Spacetime and geometry an introduction to general relativity |
| title_auth | Spacetime and geometry an introduction to general relativity |
| title_exact_search | Spacetime and geometry an introduction to general relativity |
| title_full | Spacetime and geometry an introduction to general relativity Sean Carroll |
| title_fullStr | Spacetime and geometry an introduction to general relativity Sean Carroll |
| title_full_unstemmed | Spacetime and geometry an introduction to general relativity Sean Carroll |
| title_short | Spacetime and geometry |
| title_sort | spacetime and geometry an introduction to general relativity |
| title_sub | an introduction to general relativity |
| topic | Relatività generale sbt Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd Relativitätstheorie (DE-588)4049363-5 gnd |
| topic_facet | Relatività generale Allgemeine Relativitätstheorie Relativitätstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010706733&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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