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Problem Book in Relativity and Gravitation


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Table of Contents

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

About the Author

Alan P. Lightman is professor of the practice of the humanities at the Massachusetts Institute of Technology. His books include Screening Room and Einstein's Dreams. William H. Press is the Warren J. and Viola M. Raymer Professor in Computer Science and in Integrative Biology at the University of Texas, Austin. Richard H. Price is senior lecturer in physics at the Massachusetts Institute of Technology. He is the coeditor of Black Holes. Saul A. Teukolsky is the Hans A. Bethe Professor of Physics and Astrophysics at Cornell University and the coauthor of Black Holes, White Dwarfs and Neutron Stars. Press and Teukolsky are coauthors in the Numerical Recipes book series.


"This book is a classic and easily the best way for students learning general relativity to get experience doing problems. A wide variety of topics are covered and extensive solutions are given to the insightfully formulated exercises. This is a wonderful tool for becoming an expert in a beautiful subject."--Sean Carroll, author of Spacetime and Geometry: An Introduction to General Relativity
"When you first meet them, special and general relativity seem absurd and paradoxical. When you finally reach the point of understanding them, they make perfect sense, but the only way to get there is by solving problems. This classic text is an invaluable resource for students wanting to make this journey."--John Baez, University of California, Riverside
Praise for the original edition: "This work is full of interesting problems, arranged by subject and graded by difficulty. It is full of intellectual content, and it is much more than modern pedagogy. It is modern physics, much of it at the frontiers, done in modern ways."--John A. Wheeler, Princeton University

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