Gravitation and spacetime:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2013
|
| Edition: | 3. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XVI, 528 S. Ill., graph. Darst. |
| ISBN: | 9781107012943 |
Staff View
MARC
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| 100 | 1 | |a Ohanian, Hans C. |d 1941- |e Verfasser |0 (DE-588)1036666158 |4 aut | |
| 245 | 1 | 0 | |a Gravitation and spacetime |c Hans C. Ohanian ; Remo Ruffini |
| 250 | |a 3. ed. | ||
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2013 | |
| 300 | |a XVI, 528 S. |b Ill., graph. Darst. | ||
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| 650 | 4 | |a Space and time | |
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Record in the Search Index
| _version_ | 1804150175981109248 |
|---|---|
| adam_text | Contents
Preface
Constants
Notation
1
Newton s gravitational theory
1.1
The law of universal gravitation
1.2
Tests of the inverse-square law
1.3
Gravitational potential
1.4
Gravitational multipoles; quadrupole moment of the Sun
1.5
Inerţial
and gravitational mass
1.6
Tests of equality of gravitational and
inerţial
mass
1.7
Tidal forces
1.8
Tidal field as a local measure of gravitation
Problems
References
2
The formalism of special relativity
2.1
The spacetime of special relativity
2.2
Tensors in spacetime
2.3
Tensor fields
2.4
Energy-momentum tensor
2.5
Relativistic electrodynamics
2.6
Differentia] forms and exterior calculus
Problems
References
3
The linear approximation
3.1
The example of
electromagnetism
3.2
Linear field equations for gravitation
3.3
Vanational principle and equation of motion
3.4
Nonrelativistic limit and Newton s theory
3.5
Geometric interpretation; curved spacetime
Problems
References
page
ix
xiii
xv
1
1
4
11
13
17
19
29
34
42
45
47
48
55
62
64
71
76
87
94
95
95
101
106
112
117
123
126
v¡
Contents
4
Applications
of the
linear
approximation
127
4.1
Field of a spherical mass
127
4.2
Gravitational time dilation
130
4.3
Deflection of light
138
4.4
Time delay of light
142
4.5
Gravitational lenses
149
4.6
Optics of gravitational lenses
159
4.7
Field of a rotating mass; Lense-Thirring effect
164
Problems
170
References
180
5
Gravitational waves
182
5.1
Plane waves
182
5.2
Interaction of particles with a gravitational wave
187
5.3
Emission of gravitational radiation
191
5.4
Emission by a vibrating quadrupole
196
5.5
Emission by a rotating quadrupole
199
5.6
Emission of bursts of gravitational radiation
204
5.7
Detectors of gravitational radiation
208
Problems
215
References
220
6
Riemannian geometry
221
6.1
General coordinates and tensors
223
6.2
Parallel transport; covariant derivative
226
6.3
Geodesic equation
232
6.4
Metric tensor
236
6.5
Riemann curvature tensor
243
6.6
Geodesic deviation and tidal forces; Fermi-Walker transport
252
6.7
Differential forms in curved spacetime
257
6.8
Isometries of spacetime; Killing vectors
262
Problems
268
References
274
7
Einstein s gravitational theory
275
7.1
General covariance and
invariance;
gauge transformations
276
7.2
Einstein s field equation
284
7.3
Another approach to Einstein s equation; cosmological term
288
7.4 Schwarzschild
solution and Birkhoff theorem
293
7.5
Motion of planets: perihelion precession
299
7.6
Propagation of light; gravitational redshift
305
7.7
Geodetic precession
309
Problems
317
References
322
vü Contents
8
Black
holes and gravitational collapse
324
8.1
Singularities and pseudosingularities
325
8.2
The black hole and its horizon
329
8.3
Maximal
Schwarzschild
geometry
335
8.4
Kerr solution and Reissner-Nordst^m solution
343
8.5
Horizons and singularities of the rotating black hole
349
8.6
Maximal Kerr geometry
356
8.7
Black-hole thermodynamics; Hawking process
360
8.8
Gravitational collapse and formation of black holes
367
8.9
In search of black holes
375
Problems
381
References
387
9
Cosmology
389
9.1
Large-scale structure of the universe
390
9.2
Cosmic distances
392
9.3
Expansion of the universe; Hubble s law
394
9.4
Age of the universe
401
9.5
Cosmic background radiation
404
9.6
Mass density; dark mass
408
9.7
Comoving coordinates; Robertson-Walker geometry
411
9.8 Friedmann
models
(ρ φ
0,
Λ =
0) 418
9.9
Empty
Lemaître
models
(ρ =
0,
Λ Φ
0) 424
9.10
Friedmann-Lemaître
models
{ρ φ
0,
Λ φ
0) 426
9.11
Propagation of light; particle horizon
428
9.12
Comparison of theory and observation
434
Problems
437
References
442
10
The early universe
444
10.1
Temperature of the early universe
445
10.2
Nucleosynthesis; abundance of primordial helium
451
10.3
Density perturbations; Jeans mass
456
10.4
Inflationary model
462
Problems
473
References
476
Appendix: Variational principle and energy-momentum tensor
477
A.I
Lagrange
equations for a system of particles
477
A.2
Lagrange
equations for fields
479
A.3 Energy-momentum tensor
482
A.4 Variational principle for Einstein s equations
486
A.5 Flux theorem and its implications for gravitational and
inerţial
mass
491
References
496
Answers to even-numbered problems
497
Index
503
The third edition of this classic
textbook is a quantitative intro¬
duction for advanced under¬
graduates and graduate students.
It gently guides students from
Newton s gravitational theory to
special relativity, then to the
approximate linearized relativistic
theory of gravitation, and finally to
the full nonlinear theory of general
relativity. This book views general
relativity from several perspectives:
as a theory constructed by analogy
with Maxwell s electrodynamics, as
a relativistic generalization of New¬
ton s theory, and as a theory of
curved spacetime. The authors
provide a concise overview of the
important concepts and formulas,
coupled with the experimental results underpinning the
latest research in the field. Numerous exercises scattered
throughout the chapters help students master essential
concepts for advanced work in general relativity, and give
them practice in the mathematics needed, while abundant
spacetime diagrams encourage them to think in terms of
four-dimensional spacetime geometry. Featuring compre¬
hensive reviews of recent experimental and observational
data, the text concludes with chapters on current
developments in cosmology and the physics of the Big
Bang and inflation.
IAN received his BS from the University of
California, Berkeley, and his PhD from Princeton University,
where he worked with John A. Wheeler. He has taught at
Rensselaer Polytechnic Institute, Union College, the
University of Vermont, and in summer courses at UNED in
Spain. He has published several textbooks in addition to
Gravitation and Spacetime, including Classical Electro¬
dynamics, Principles of Quantum Mechanics, and Special
Relativity: A Modern Introduction, as well as articles on
various aspects of relativity and quantum theory.
is the Chair of Theoretical Physics at the
University of Rome, where he received his PhD, and has
also taught at Princeton University. He is cofounder with
Abdus
Salam
of the
Marcell
Grossmann
meetings and has
acted as an adviser to NASA and the Italian Space Agency.
He introduced with John A. Wheeler in
1971
the concept of
a black hole, and his published works include Cosmology
from Space Platforms, Black Holes, Gravitational Waves
and Cosmology, Basic Concepts in Relativistic Astro¬
physics, Gamow Cosmology, and a large number of articles
and edited volumes.
Front Cover: A disk of cold gas and dust encircles a possible
supermassive
black hole at the core of the galaxy NGC
4261.
Courtesy of Waiter
Jaffe/Leiden Observatory. Holland Ford/JHU/STSd. and NASA.
Back Cover: A horseshoe-shaped Einstetn Ring, where the light from a
distant blue galaxy has been gravitationally distorted by the closer luminous
red galaxy (LRG
3-757).
Courtesy of ESA/Hubbie and NASA.
Cover designed by Joseph Piiiero.
ISBN
978-1-107-01294-3
78110?
|
| any_adam_object | 1 |
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| dewey-ones | 530 - Physics |
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| dewey-search | 530.11 |
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| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV040892920 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:34:45Z |
| institution | BVB |
| isbn | 9781107012943 |
| language | English |
| lccn | 2012027666 |
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| physical | XVI, 528 S. Ill., graph. Darst. |
| publishDate | 2013 |
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| publishDateSort | 2013 |
| publisher | Cambridge University Press |
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| spelling | Ohanian, Hans C. 1941- Verfasser (DE-588)1036666158 aut Gravitation and spacetime Hans C. Ohanian ; Remo Ruffini 3. ed. Cambridge Cambridge University Press 2013 XVI, 528 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Gravitation Space and time Gravitationstheorie (DE-588)4158117-9 gnd rswk-swf Gravitation (DE-588)4021908-2 gnd rswk-swf Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd rswk-swf Gravitationstheorie (DE-588)4158117-9 s DE-604 Allgemeine Relativitätstheorie (DE-588)4112491-1 s Gravitation (DE-588)4021908-2 s 1\p DE-604 Ruffini, Remo 1942- Verfasser (DE-588)1036666522 aut Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025872524&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025872524&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ohanian, Hans C. 1941- Ruffini, Remo 1942- Gravitation and spacetime Gravitation Space and time Gravitationstheorie (DE-588)4158117-9 gnd Gravitation (DE-588)4021908-2 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd |
| subject_GND | (DE-588)4158117-9 (DE-588)4021908-2 (DE-588)4112491-1 |
| title | Gravitation and spacetime |
| title_auth | Gravitation and spacetime |
| title_exact_search | Gravitation and spacetime |
| title_full | Gravitation and spacetime Hans C. Ohanian ; Remo Ruffini |
| title_fullStr | Gravitation and spacetime Hans C. Ohanian ; Remo Ruffini |
| title_full_unstemmed | Gravitation and spacetime Hans C. Ohanian ; Remo Ruffini |
| title_short | Gravitation and spacetime |
| title_sort | gravitation and spacetime |
| topic | Gravitation Space and time Gravitationstheorie (DE-588)4158117-9 gnd Gravitation (DE-588)4021908-2 gnd Allgemeine Relativitätstheorie (DE-588)4112491-1 gnd |
| topic_facet | Gravitation Space and time Gravitationstheorie Allgemeine Relativitätstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025872524&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025872524&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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