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Third edition
By Hans Stephani
Publisher: Cambridge University Press
Print Publication Year:2004
Online Publication Date:May 2010
Online ISBN:9780511616532
Hardback ISBN:9780521811859
Paperback ISBN:9780521010696
Book DOI: http://dx.doi.org/10.1017/CBO9780511616532
Subjects: Cosmology, Relativity and Gravitation , Astrophysics
Thoroughly revised and updated, this self-contained textbook provides a pedagogical introduction to relativity. It covers the most important features of special as well as general relativity, and considers more difficult topics, such as charged pole-dipole particles, Petrov classification, groups of motions, gravitational lenses, exact solutions and the structure of infinity. The necessary mathematical tools are provided, most derivations are complete, and exercises are included where appropriate. The bibliography lists the original papers and also directs the reader to useful monographs and review papers. Previous Edition Hb(1990): 0-521-37066-3 Previous Edition Pb(1990): 0-521-37941-5
Reviews:
pp. i-iv
pp. v-xiv
pp. xv-xviii
pp. xix-xx
Part I - Special Relativity
1 - Introduction: Inertial systems and the Galilei invariance of Classical Mechanics: Read PDF
pp. 1-6
2 - Light propagation in moving coordinate systems and Lorentz transformations: Read PDF
pp. 7-14
3 - Our world as a Minkowski space: Read PDF
pp. 14-24
4 - Mechanics of Special Relativity: Read PDF
pp. 24-34
5 - Optics of plane waves: Read PDF
pp. 34-41
6 - Four-dimensional vectors and tensors: Read PDF
pp. 41-49
7 - Electrodynamics in vacuo: Read PDF
pp. 50-58
8 - Transformation properties of electromagnetic fields: examples: Read PDF
pp. 58-62
9 - Null vectors and the algebraic properties of electromagnetic field tensors: Read PDF
pp. 63-68
10 - Charged point particles and their field: Read PDF
pp. 69-79
11 - Pole-dipole particles and their field: Read PDF
pp. 80-84
12 - Electrodynamics in media: Read PDF
pp. 84-89
13 - Perfect fluids and other physical theories: Read PDF
pp. 89-94
Part II - Riemannian geometry
14 - Introduction: The force-free motion of particles in Newtonian mechanics: Read PDF
pp. 95-103
15 - Why Riemannian geometry?: Read PDF
pp. 103-105
16 - Riemannian space: Read PDF
pp. 105-116
pp. 116-126
18 - The covariant derivative and parallel transport: Read PDF
pp. 126-135
19 - The curvature tensor: Read PDF
pp. 136-148
20 - Differential operators, integrals and integral laws: Read PDF
pp. 149-155
21 - Fundamental laws of physics in Riemannian spaces: Read PDF
pp. 156-172
Part III - Foundations of Einstein's theory of gravitation
22 - The fundamental equations of Einstein's theory of gravitation: Read PDF
pp. 173-185
23 - The Schwarzschild solution: Read PDF
pp. 185-200
24 - Experiments to verify the Schwarzschild metric: Read PDF
pp. 200-205
25 - Gravitational lenses: Read PDF
pp. 205-208
26 - The interior Schwarzschild solution: Read PDF
pp. 209-216
Part IV - Linearized theory of gravitation, far fields and gravitational waves
27 - The linearized Einstein theory of gravity: Read PDF
pp. 217-227
28 - Far fields due to arbitrary matter distributions and balance equations for momentum and angular momentum: Read PDF
pp. 227-238
29 - Gravitational waves: Read PDF
pp. 238-249
30 - The Cauchy problem for the Einstein field equations: Read PDF
pp. 249-260
Part V - Invariant characterization of exact solutions: Read PDF
pp. 261-261
31 - Preferred vector fields and their properties: Read PDF
pp. 261-272
32 - The Petrov classification: Read PDF
pp. 272-278
33 - Killing vectors and groups of motion: Read PDF
pp. 278-293
34 - A survey of some selected classes of exact solutions: Read PDF
pp. 293-300
Part VI - Gravitational collapse and black holes: Read PDF
pp. 301-301
35 - The Schwarzschild singularity: Read PDF
pp. 301-310
36 - Gravitational collapse – the possible life history of a spherically symmetric star: Read PDF
pp. 310-321
37 - Rotating black holes: Read PDF
pp. 322-329
38 - Black holes are not black – Relativity Theory and Quantum Theory: Read PDF
pp. 330-341
39 - The conformal structure of infinity: Read PDF
pp. 341-350
Part VII - Cosmology: Read PDF
pp. 351-351
40 - Robertson–Walker metrics and their properties: Read PDF
pp. 352-363
41 - The dynamics of Robertson–Walker metrics and the Friedmann universes: Read PDF
pp. 363-370
42 - Our universe as a Friedmann model: Read PDF
pp. 371-379
43 - General cosmological models: Read PDF
pp. 380-387
pp. 388-391
pp. 392-396