9780226870335

General Relativity

by
  • ISBN13:

    9780226870335

  • ISBN10:

    0226870332

  • Format: Paperback
  • Copyright: 1984-06-15
  • Publisher: Univ of Chicago Pr
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Summary

"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

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
Fundamentals
Introduction
Introduction
Space and Time in Prerelativity Physics and in Special Relativity
The Spacetime Metric
General Relativity
Manifolds and Tensor Fields
Manifolds
Vectors
Tensors; the Metric Tensor
The Abstract Index Notation
Curvature
Derivative Operators and Parallel Transport
Curvature
Geodesics
Methods for Computing Curvature
Einstein's Equation
The Geometry of Space in Prerelativity Physics; General and Special Covariance
Special Relativity
General Relativity
Linearized Gravity: The Newtonian Limit and Gravitational Radiation
Homogeneous, Isotropic Cosmology
Homogeneity and Isotrophy
Dynamics of a Homogeneous, Isotropic Universe
The Cosmological Redshift; Horizons
The Evolution of Our Universe
The Schwartzschild Solution
Derivation of the Schwartzschild Solution
Interior Solutions
Geodesics of Schwartzschild: Gravitation Redshift, Perihelion Precession, Bending of Light, and Time Delay
The Kruskal Extension
Advanced Topics
Methods for Solving Einstein's Equation
Stationary, Axisymmetric Solutions
Spatially Homogeneous Cosmologies
Algebraically Special Solutions
Methods for Generating Solutions
Perturbations
Casual Structure
Futures and Pasts: Basic Definitions and Results
Causality Conditions
Domains of Dependence; Global Hyperbolicity
Singularities
What is a Singularity?
Timelike and Null Geodesic Congruences
Conjugate Points
Existence of Maximum Length Curves
Singularity Theorems
The Initial Value Formulation
Initial Value Formulation for Particles and Fields
Initial Value Formulation of General Relativity
Asymptotic Flatness
Conformal Infinity
Energy
Black Holes
Black Holes and the Cosmic Censor Conjecture
General Properties of Black Holes
The Charged Kerr Black Holes
Energy Extraction from Black Holes
Black Holes and Thermodynamics
Spinors
Spinors in Minkowski Spacetime
Spinors in Curved Spacetime
Quantum Effects in Strong Gravitational Fields
Quantum Gravity
Quantum Fields in Curved Spacetime
Particle Creation near Black Holes
Black Hold Thermodynamics
Appendices
Topological Spaces
Differential Forms, Integration, and Frobenius's Theorem
Differential Forms
Integration
Frobenius's Theorem
Maps of Manifolds, Lie Derivatives, and Killing Fields
Maps of Manifolds
Lie Derivatives
Killing Vector Fields
Conformal Transformations
Lagrangian and Hamiltonian Formulations of Einstein's Equation
Lagrangian Formulation
Hamiltonian Formulation
Units and Dimensions
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

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