Relativity: An Introduction to Special and General Relativity Book

	Preface
	Notation
Pt. I	Special relativity	1
1	Introduction : inertial systems and Galilei invariance of classical mechanics	1
2	Light propagation in moving coordinate systems and Lorenzt transformations	7
3	Our world as a Minkowski space	14
4	Mechanics of special relativity	24
5	Optics of plane waves	34
6	Four-dimensional vectors and tensors	41
7	Electrodynamics in vacuo	50
8	Transformation properties of electromagnetic fields : examples	58
9	Null vectors and algebraic properties of electromagnetic field tensors	63
10	Charged point particles and their field	69
11	Pole-dipole particles and their field	80
12	Electrodynamics in media	84
13	Perfect fluids and other physical theories	89
Pt. II	Riemannian geometry	95
14	Introduction : the force-free motion of particles in Newtonian mechanics	95
15	Why Riemannian geometry?	103
16	Riemannian space	105
17	Tensor algebra	116
18	The covariant derivative and parallel transport	126
19	The curvature tensor	136
20	Differential operators, integrals and integral laws	149
21	Fundamental laws of physics in Riemannian spaces	156
Pt. III	Foundations of Einstein's theory of gravitation	173
22	The fundamental equations of Einstein's theory of gravitation	173
23	The Schwarzschild solution	185
24	Experiments to verify the Schwarzschild metric	200
25	Gravitational lenses	205
26	The interior Schwarzschild solution	209
Pt. IV	Linearized theory of gravitation, far fields and gravitational waves	217
27	The linearized Einstein theory of gravity	217
28	Far fields due to arbitrary matter distributions and balance equations for momentum and angular momentum	227
29	Gravitational waves	238
30	The Cauchy problem for the Einstein field equations	249
Pt. V	Invariant characterization of exact solutions	261
31	Preferred vector fields and their properties	261
32	The Petrov classification	272
33	Killing vectors and groups of motion	278
34	A survey of some selected classes of exact solutions	293
Pt. VI	Gravitational collapse and black holes	301
35	The Schwarzschild singularity	301
36	Gravitational collapse - the possible life history of a spherically symmetric star	310
37	Rotating black holes	322
38	Black holes are not black - relativity theory and quantum theory	330
39	The conformal structure of infinity	341
Pt. VII	Cosmology	351
40	Robertson-Walker metrics and their properties	352
41	The dynamics of Robertson-Walker metrics and the Friedmann universes	363
42	Our Universe as a Friedmann model	371
43	General cosmological models	380
	Bibliography	388
	Index	392