General Relativity

University of Chicago Press, 1984

**Cloth**: 978-0-226-87032-8 |**Paper**: 978-0-226-87033-5 |**Electronic**: 978-0-226-87037-3**DOI:**10.7208/chicago/9780226870373.001.0001### AVAILABLE FROM

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**ABOUT THIS BOOK**

**AUTHOR BIOGRAPHY**

**TABLE OF CONTENTS**

### ABOUT THIS BOOK

"Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar

"A

"Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York,

"A

*tour de force*: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston,*Times Higher Education Supplement*"Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York,

*Physics Today*### AUTHOR BIOGRAPHY

**Robert M. Wald**is professor in the Department of Physics and the Enrico Fermi Institute at the University of Chicago. He is the author of

*Space, Time, and Gravity: The Theory of the Big Bang and Black Holes*, also published by the University of Chicago Press.

### TABLE OF CONTENTS

**Preface**

**Notation and Conventions**

**PART I. FUNDAMENTALS**

**1. Introduction**

**2. Manifolds and Tensor Fields**

**3. Curvature**

**4. Einstein's Equation**

**5. Homogeneous, Isotropic Cosmology**

**6. The Schwarzschild Solution**

**PART II
. ADVANCED TOPICS**

**7. Methods for Solving Einstein's Equation**

**8. Causal Structure**

**9. Singularities**

**10. The Initial Value Formulation**

**11. Asymptotic Flatness**

**12. Black Holes**

**13. Spinors**

**14. Quantum Effects in Strong Gravitational Fields**

**APPENDICES**

**A. Topological Spaces**

**B. Differential Forms, Integration, and Frobenius's Theorem**

**C. Maps of Manifolds, Lie Derivatives, and Killing Fields**

**D. Conformal Transformations**

**E. Lagrangian and Hamiltonian Formulations of
Einstein's Equation**

**F. Units and Dimensions**

**References**

**Index**