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1.

図書

図書
Wald, Robert M.
出版情報: Chicago : University of Chicago Press  v. ; 24 cm
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図書

図書
edited by Robert M. Wald
出版情報: Chicago : University of Chicago Press, 1998  xii, 278 p. ; 24 cm
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目次情報: 続きを見る
Contributors
Preface
Gravitational Waves, Stars and Black Holes / Valeria Ferrari1:
Rotating Relativistic Stars / John L. Friedman2:
Probing Black Holes and Relativistic Stars with Gravitational Waves / Kip S. Thorne3:
Astrophysical Evidence for Black Holes / Martin J. Rees4:
The Question of Cosmic Censorship / Roger Penrose5:
Black Hole Collisions, Toroidal Black Holes, and Numerical Relativity / Saul A. Teukolsky6:
The Internal Structure of Black Holes / Werner Israel7:
Black Holes and Thermodynamics / Robert M. Wald8:
The Statistical Mechanics of Black Hole Thermodynamics / Rafael D. Sorkin9:
Generalized Quantum Theory in Evaporating Black Hole Spacetimes / James B. Hartle10:
Is Information Lost in Black Holes? / Stephen W. Hawking11:
Quantum States of Black Holes / Gary T. Horowitz Chandra: A Tribute Kameshwar C. Wali Our Song ; Lalitha Chandrasekhar12:
Contributors
Preface
Gravitational Waves, Stars and Black Holes / Valeria Ferrari1:
3.

図書

図書
Robert M. Wald
出版情報: Chicago : University of Chicago Press, 1984  xiii, 491 p. ; 25 cm
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目次情報: 続きを見る
Preface
Notation and Conventions
Fundamentals / Part I:
Introduction / 1:
Space and Time in Prerelativity Physics and in Special Relativity / 1.1:
The Spacetime Metric / 1.3:
General Relativity / 1.4:
Manifolds and Tensor Fields / 2:
Manifolds / 2.1:
Vectors / 2.2:
Tensors; the Metric Tensor / 2.3:
The Abstract Index Notation / 2.4:
Curvature / 3:
Derivative Operators and Parallel Transport / 3.1:
Geodesics / 3.2:
Methods for Computing Curvature / 3.4:
Einstein's Equation / 4:
The Geometry of Space in Prerelativity Physics; General and Special Covariance / 4.1:
Special Relativity / 4.2:
Linearized Gravity: The Newtonian Limit and Gravitational Radiation / 4.3:
Homogeneous, Isotropic Cosmology / 5:
Homogeneity and Isotrophy / 5.1:
Dynamics of a Homogeneous, Isotropic Universe / 5.2:
The Cosmological Redshift; Horizons / 5.3:
The Evolution of Our Universe / 5.4:
The Schwartzschild Solution / 6:
Derivation of the Schwartzschild Solution / 6.1:
Interior Solutions / 6.2:
Geodesics of Schwartzschild: Gravitation Redshift, Perihelion Precession, Bending of Light, and Time Delay / 6.3:
The Kruskal Extension / 6.4:
Advanced Topics / Part II:
Methods for Solving Einstein's Equation / 7:
Stationary, Axisymmetric Solutions / 7.1:
Spatially Homogeneous Cosmologies / 7.2:
Algebraically Special Solutions / 7.3:
Methods for Generating Solutions / 7.4:
Perturbations / 7.5:
Casual Structure / 8:
Futures and Pasts: Basic Definitions and Results / 8.1:
Causality Conditions / 8.2:
Domains of Dependence; Global Hyperbolicity / 8.3:
Singularities / 9:
What is a Singularity? / 9.1:
Timelike and Null Geodesic Congruences / 9.2:
Conjugate Points / 9.3:
Existence of Maximum Length Curves / 9.4:
Singularity Theorems / 9.5:
The Initial Value Formulation / 10:
Initial Value Formulation for Particles and Fields / 10.1:
Initial Value Formulation of General Relativity / 10.2:
Asymptotic Flatness / 11:
Conformal Infinity / 11.1:
Energy / 11.2:
Black Holes / 12:
Black Holes and the Cosmic Censor Conjecture / 12.1:
General Properties of Black Holes / 12.2:
The Charged Kerr Black Holes / 12.3:
Energy Extraction from Black Holes / 12.4:
Black Holes and Thermodynamics / 12.5:
Spinors / 13:
Spinors in Minkowski Spacetime / 13.1:
Spinors in Curved Spacetime / 13.2:
Quantum Effects in Strong Gravitational Fields / 14:
Quantum Gravity / 14.1:
Quantum Fields in Curved Spacetime / 14.2:
Particle Creation near Black Holes / 14.3:
Black Hold Thermodynamics / 14.4:
Appendices
Topological Spaces / A:
Differential Forms, Integration, and Frobenius's Theorem / B:
Differential Forms / B.1:
Integration / B.2:
Frobenius's Theorem / B.3:
Maps of Manifolds, Lie Derivatives, and Killing Fields / C:
Maps of Manifolds / C.1:
Lie Derivatives / C.2:
Killing Vector Fields / C.3:
Conformal Transformations / D:
Lagrangian and Hamiltonian Formulations of Einstein's Equation / E:
Lagrangian Formulation / E.1:
Hamiltonian Formulation / E.2:
Units and Dimensions / F:
References
Index
Preface
Notation and Conventions
Fundamentals / Part I:
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