A first course in general relativity:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge ; New York
Cambridge University Press
2009
|
| Edition: | Second edition |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 378 - 385. - Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | xv, 393 Seiten Illustrationen, Diagramme |
| ISBN: | 9780521887052 |
Staff View
MARC
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| 100 | 1 | |a Schutz, Bernard F. |d 1946- |e Verfasser |0 (DE-588)1012853179 |4 aut | |
| 245 | 1 | 0 | |a A first course in general relativity |c Bernard F. Schutz, Max Planck Institute for Gravitational Physics (Albert Einstein Institute) and Cardiff University |
| 250 | |a Second edition | ||
| 264 | 1 | |a Cambridge ; New York |b Cambridge University Press |c 2009 | |
| 264 | 4 | |c © 2009 | |
| 300 | |a xv, 393 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturverz. S. 378 - 385. - Hier auch später erschienene, unveränderte Nachdrucke | ||
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| 650 | 4 | |a General relativity (Physics) | |
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Record in the Search Index
| _version_ | 1804138829531054080 |
|---|---|
| adam_text | Contents
Preface
to the second edition page
xi
Preface to the first edition
xiii
Special relativity
1
1.1
Fundamental principles of special relativity (SR) theory
1
1.2
Definition of an
inerţial
observer in SR
3
1.3
New units
4
1.4
Spacetime diagrams
5
1.5
Construction of the coordinates used by another observer
6
1.6
Invariance
of the interval
9
1.7
Invariant hyperbolae
14
1.8
Particularly important results
17
1.9
The
Lorentz
transformation
21
1.10
The velocity-composition law
22
1.11
Paradoxes and physical intuition
23
1.12
Further reading
24
1.13
Appendix: The twin paradox dissected
25
1.14
Exercises
28
Vector analysis in special relativity
33
2.1
Definition of a vector
33
2.2
Vector algebra
36
2.3
The four-velocity
41
2.4
The four-momentum
42
2.5
Scalar product
44
2.6
Applications
46
2.7
Photons
49
2.8
Further reading
50
2.9
Exercises
50
Tensor analysis in special relativity
56
3.1
The metric tensor
56
3.2
Definition of tensors
56
3.3
The (¡) tensors: one-forms
58
3.4
The
φ
tensors
66
viii Contents
3.5
Metric
as a mapping of vectors into one-forms
68
3.6
Finally:
Q
tensors
72
3.7
Index raising and lowering
74
3.8
Differentiation of tensors
76
3.9
Further reading
77
3.10
Exercises
77
4
Perfect fluids in special relativity
84
4.1
Fluids
84
4.2
Dust: the number-flux vector
N 85
4.3
One-forms and surfaces
88
4.4
Dust again: the stress-energy tensor
91
4.5
General fluids
93
4.6
Perfect fluids
100
4.7
Importance for general relativity
104
4.8
Gauss law
105
4.9
Further reading
106
4.10
Exercises
107
5
Preface to curvature
111
5.1
On the relation of gravitation to curvature 111
5.2
Tensor algebra in polar coordinates
118
5.3
Tensor calculus in polar coordinates
125
5.4 Christoffel
symbols and the metric
131
5.5
Noncoordinate
bases
135
5.6
Looking ahead
138
5.7
Further reading
139
5.8
Exercises
139
6
Curved manifolds
142
6.1
Differentiable manifolds and tensors
142
6.2
Riemannian manifolds
144
6.3
Covariant differentiation
150
6.4
Parallel-transport, geodesies, and curvature
153
6.5
The curvature tensor
157
6.6
Bianchi
identities:
Ricci
and Einstein tensors
163
6.7
Curvature in perspective
165
6.8
Further reading
166
6.9
Exercises
166
7
Physics in a curved spacetime
171
7.1
The transition from differential geometry to gravity
171
7.2
Physics in slightly curved spacetimes
175
7.3
Curved intuition
177
|x
Contents
7.4
Conserved quantities
178
7.5
Further reading
181
7.6
Exercises
181
8
The Einstein field equations
184
8.1
Purpose and justification of the field equations
184
8.2
Einstein s equations
187
8.3
Einstein s equations for weak gravitational fields
189
8.4
Newtonian gravitational fields
194
8.5
Further reading
197
8.6
Exercises
198
9
Gravitational radiation
203
9.1
The propagation of gravitational waves
203
9.2
The detection of gravitational waves
213
9.3
The generation of gravitational waves
227
9.4
The energy carried away by gravitational waves
234
9.5
Astrophysical sources of gravitational waves
242
9.6
Further reading
247
9.7
Exercises
248
10
Spherical solutions for stars
256
10.1
Coordinates for spherically symmetric spacetimes
256
10.2
Static spherically symmetric spacetimes
258
10.3
Static perfect fluid Einstein equations
260
10.4
The exterior geometry
262
10.5
The interior structure of the star
263
10.6
Exact interior solutions
266
10.7
Realistic stars and gravitational collapse
269
10.8
Further reading
276
10.9
Exercises
277
11 Schwarzschild
geometry and black holes
281
11.1
Trajectories in the
Schwarzschild spacetime 281
11.2
Nature of the surface r = 2M
298
11.3
General black holes
304
11.4
Real black holes in astronomy
318
11.5
Quantum mechanical emission of radiation by black holes:
the Hawking process
323
11.6
Further reading
327
11.7
Exercises
328
12
Cosmology
335
12.1
What is cosmology?
335
12.2
Cosmological kinematics: observing the expanding universe
337
Contents
12.3 Cosmological
dynamics: understanding the expanding universe
. 353
12.4
Physical cosmology: the evolution of the universe we observe
361
12.5
Further reading
369
12.6
Exercises
370
Appendix A Summary of linear algebra
374
References
378
Index
386
|
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| indexdate | 2024-07-09T21:34:24Z |
| institution | BVB |
| isbn | 9780521887052 |
| language | English |
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| physical | xv, 393 Seiten Illustrationen, Diagramme |
| publishDate | 2009 |
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| spelling | Schutz, Bernard F. 1946- Verfasser (DE-588)1012853179 aut A first course in general relativity Bernard F. Schutz, Max Planck Institute for Gravitational Physics (Albert Einstein Institute) and Cardiff University Second edition Cambridge ; New York Cambridge University Press 2009 © 2009 xv, 393 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 378 - 385. - Hier auch später erschienene, unveränderte Nachdrucke Astrophysics General relativity (Physics) Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Allgemeine Relativitätstheorie (DE-588)4112491-1 s 1\p DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017322270&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 | Schutz, Bernard F. 1946- A first course in general relativity Astrophysics General relativity (Physics) Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd |
| subject_GND | (DE-588)4112491-1 (DE-588)4123623-3 |
| title | A first course in general relativity |
| title_auth | A first course in general relativity |
| title_exact_search | A first course in general relativity |
| title_full | A first course in general relativity Bernard F. Schutz, Max Planck Institute for Gravitational Physics (Albert Einstein Institute) and Cardiff University |
| title_fullStr | A first course in general relativity Bernard F. Schutz, Max Planck Institute for Gravitational Physics (Albert Einstein Institute) and Cardiff University |
| title_full_unstemmed | A first course in general relativity Bernard F. Schutz, Max Planck Institute for Gravitational Physics (Albert Einstein Institute) and Cardiff University |
| title_short | A first course in general relativity |
| title_sort | a first course in general relativity |
| topic | Astrophysics General relativity (Physics) Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd |
| topic_facet | Astrophysics General relativity (Physics) Allgemeine Relativitätstheorie Lehrbuch |
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