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General Relativity (84 Edition)

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General Relativity (84 Edition) Cover

 

Synopses & Reviews

Please note that used books may not include additional media (study guides, CDs, DVDs, solutions manuals, etc.) as described in the publisher comments.

Publisher Comments:

"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 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

About the Author

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

1.1 Introduction

1.2 Space and Time in Prerelativity Physics and in Special Relativity

1.3 The Spacetime Metric

1.4 General Relativity

2. Manifolds and Tensor Fields

2.1 Manifolds

2.2 Vectors

2.3 Tensors; the Metric Tensor

2.4 The Abstract Index Notation

3. Curvature

3.1 Derivative Operators and Parallel Transport

3.2 Curvature

3.3 Geodesics

3.4 Methods for Computing Curvature

4. Einstein's Equation

4.1 The Geometry of Space in Prerelativity Physics; General and Special Covariance

4.2 Special Relativity

4.3 General Relativity

4.4 Linearized Gravity: The Newtonian Limit and Gravitational Radiation

5. Homogeneous, Isotropic Cosmology

5.1 Homogeneity and Isotrophy

5.2 Dynamics of a Homogeneous, Isotropic Universe

5.3 The Cosmological Redshift; Horizons

5.4 The Evolution of Our Universe

6. The Schwartzschild Solution

6.1 Derivation of the Schwartzschild Solution

6.2 Interior Solutions

6.3 Geodesics of Schwartzschild: Gravitation Redshift, Perihelion Precession, Bending of Light, and Time Delay

6.4 The Kruskal Extension

PART II. ADVANCED TOPICS

7. Methods for Solving Einstein's Equation

7.1 Stationary, Axisymmetric Solutions

7.2 Spatially Homogeneous Cosmologies

7.3 Algebraically Special Solutions

7.4 Methods for Generating Solutions

7.5 Perturbations

8. Casual Structure

8.1 Futures and Pasts: Basic Definitions and Results

8.2 Causality Conditions

8.3 Domains of Dependence; Global Hyperbolicity

9. Singularities

9.1 What is a Singularity?

9.2 Timelike and Null Geodesic Congruences

9.3 Conjugate Points

9.4 Existence of Maximum Length Curves

9.5 Singularity Theorems

10. The Initial Value Formulation

10.1 Initial Value Formulation for Particles and Fields

10.2 Initial Value Formulation of General Relativity

11. Asymptotic Flatness

11.1 Conformal Infinity

11.2 Energy

12. Black Holes

12.1 Black Holes and the Cosmic Censor Conjecture

12.2 General Properties of Black Holes

12.3 The Charged Kerr Black Holes

12.4 Energy Extraction from Black Holes

12.5 Black Holes and Thermodynamics

13. Spinors

13.1 Spinors in Minkowski Spacetime

13.2 Spinors in Curved Spacetime

14. Quantum Effects in Strong Gravitational Fields

14.1 Quantum Gravity

14.2 Quantum Fields in Curved Spacetime

14.3 Particle Creation near Black Holes

14.4 Black Hold Thermodynamics

APPENDICES

A. Topological Spaces

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

B.1 Differential Forms

B.2 Integration

B.3 Frobenius's Theorem

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

C.1 Maps of Manifolds

C.2 Lie Derivatives

C.3 Killing Vector Fields

D. Conformal Transformations

E. Lagrangian and Hamiltonian Formulations of Einstein's Equation

E.1 Lagrangian Formulation

E.2 Hamiltonian Formulation

F. Units and Dimensions

References

Index

Product Details

ISBN:
9780226870335
Author:
Wald, Robert M.
Publisher:
University of Chicago Press
Location:
Chicago :
Subject:
Science
Subject:
Physics
Subject:
Relativity
Subject:
General relativity (physics)
Subject:
General relativity
Subject:
Physics-Relativity Theory
Edition Description:
Paperback
Series Volume:
75-7
Publication Date:
19840631
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Yes
Pages:
506
Dimensions:
9.25 x 6.5 in

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