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The Resource General relativity, Robert M. Wald

General relativity, Robert M. Wald

Label
General relativity
Title
General relativity
Statement of responsibility
Robert M. Wald
Creator
Subject
Language
eng
Cataloging source
DLC
http://library.link/vocab/creatorName
Wald, Robert M
Dewey number
530.1/1
Illustrations
illustrations
Index
index present
LC call number
QC173.6
LC item number
.W35 1984
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
  • General relativity (Physics)
  • Relativité générale (Physique)
  • Algemene relativiteitstheorie
  • Allgemeine Relativitätstheorie
  • Relativité générale (physique)
Label
General relativity, Robert M. Wald
Instantiates
Publication
Note
Includes index
Bibliography note
Bibliography: pages 473-484
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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
Control code
10018614
Dimensions
25 cm
Extent
xiii, 491 pages
Isbn
9780226870328
Lccn
83017969
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)10018614
  • (WaOLN)675921
Label
General relativity, Robert M. Wald
Publication
Note
Includes index
Bibliography note
Bibliography: pages 473-484
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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
Control code
10018614
Dimensions
25 cm
Extent
xiii, 491 pages
Isbn
9780226870328
Lccn
83017969
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (OCoLC)10018614
  • (WaOLN)675921

Library Locations

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      1 University Blvd, St. Louis, MO, 63121, US
      38.710138 -90.311107
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