Problem Book in Relativity and Gravitation

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.

PREFACE viiNOTATION xiPROBLEMS SOLUTIONS1 Special-Relativistic Kinematics 3 1332 Special-Relativistic Dynamics 11 1593 Special-Relativistic Coordinate Transformations, Invariants and Tensors 15 1734 Electromagnetism 23 1925 Matter and Radiation 28 2056 Metrics 37 2337 Covariant Differentiation and Geodesic Curves 40 2438 Differential Geometry: Further Concepts 47 2639 Curvature 55 28410 Killing Vectors and Symmetries 64 31511 Angular Momentum 67 32712 Gravitation Generally 71 34613 Gravitational Field Equations and Linearized Theory 76 36414 Physics in Curved Spacetime 82 38615 The Schwarzschild Geometry 87 40416 Spherical Symmetry and Relativistic Stellar Structure 92 43217 Black Holes 100 46618 Gravitational Radiation 106 49019 Cosmology 112 52020 Experimental Tests 122 56021 Miscellaneous 125 575INDEX 593