Problem Book in Relativity and Gravitation
Description
Important and useful to every student of relativity, this book is a unique collection of some 475 problems--with solutions--in the fields of special and general relativity, gravitation, relativistic astrophysics, and cosmology. The problems are expressed in broad physical terms to enhance their pertinence to readers with diverse backgrounds.
In their solutions, the authors have attempted to convey a mode of approach to these kinds of problems, revealing procedures that can reduce the labor of calculations while avoiding the pitfall of too much or too powerful formalism. Although well suited for individual use, the volume may also be used with one of the modem textbooks in general relativity.
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Content
PREFACE vii
NOTATION xi
PROBLEMS SOLUTIONS
1 Special-Relativistic Kinematics 3 133
2 Special-Relativistic Dynamics 11 159
3 Special-Relativistic Coordinate Transformations, Invariants and Tensors 15 173
4 Electromagnetism 23 192
5 Matter and Radiation 28 205
6 Metrics 37 233
7 Covariant Differentiation and Geodesic Curves 40 243
8 Differential Geometry: Further Concepts 47 263
9 Curvature 55 284
10 Killing Vectors and Symmetries 64 315
11 Angular Momentum 67 327
12 Gravitation Generally 71 346
13 Gravitational Field Equations and Linearized Theory 76 364
14 Physics in Curved Spacetime 82 386
15 The Schwarzschild Geometry 87 404
16 Spherical Symmetry and Relativistic Stellar Structure 92 432
17 Black Holes 100 466
18 Gravitational Radiation 106 490
19 Cosmology 112 520
20 Experimental Tests 122 560
21 Miscellaneous 125 575
INDEX 593
