03966nam a22002657a 4500 20220216125040.0 220113b ||||| |||| 00| 0 eng d 9781886892705 :Zafaa Books & Distributors :313/56F 49A, Anand Nagar Inderlok Delhi 110035 :ZBD0697 :10/01/2022 530.11 WAL Wald, Robert M. General Relativity / Robert M Wald Chicago : University of Chicago Press, ©2007 xiii, 491 pages : illustrations ; 25 cm 1245 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. Physics General relativity (Physics) Relativité générale (Physique) 33.21 relativity, gravitation. Algemene relativiteitstheorie. Allgemeine Relativitätstheorie Wald, Robert M. BOOK 58745 58745 0 0 ddc 0 1 SNUL SNUL 2022-01-13 Zafaa Books & Distributors 1245.00 0 530.11 WAL 28220 2023-09-03 00:00:00 2022-01-13 BOOK 0 0 ddc 0 0 SNUL SNUL 2022-01-13 Zafaa Books & Distributors 1245.00 2 530.11 WAL 28221 2023-12-02 00:00:00 2023-11-15 2022-01-13 BOOK 0 0 ddc 0 0 SNUL SNUL 2022-01-13 Zafaa Books & Distributors 1245.00 3 2 530.11 WAL 28222 2026-09-22 23:14:26 2026-09-14 2022-01-13 BOOK 0 0 ddc 0 0 SNUL SNUL 2022-01-13 Zafaa Books & Distributors 1245.00 3 530.11 WAL 28223 2025-05-12 00:00:00 2025-04-19 2022-01-13 BOOK 0 0 ddc 0 0 SNUL SNUL 2022-01-13 Zafaa Books & Distributors 1245.00 5 2 530.11 WAL 28224 2025-07-09 00:00:00 2024-11-13 2022-01-13 BOOK 0 0 ddc 0 0 SNUL SNUL 2022-01-13 Zafaa Books & Distributors 1245.00 2 4 530.11 WAL 28225 2026-05-08 20:58:51 2026-03-30 2022-01-13 BOOK 0 0 ddc 0 0 SNUL SNUL 2022-01-13 Zafaa Books & Distributors 1245.00 8 530.11 WAL 28226 2024-08-14 00:00:00 2024-05-15 2022-01-13 BOOK 0 0 ddc 0 0 SNUL SNUL 2022-01-13 Zafaa Books & Distributors 1245.00 3 2 530.11 WAL 28227 2023-11-08 00:00:00 2023-10-28 2022-01-13 BOOK 0 0 ddc 0 0 SNUL SNUL 2022-01-13 Zafaa Books & Distributors 1245.00 11 12 530.11 WAL 28228 2026-10-15 15:58:11 2026-09-03 2022-01-13 BOOK 0 0 ddc 0 0 SNUL SNUL 2022-01-13 Zafaa Books & Distributors 1245.00 3 3 530.11 WAL 28229 2026-05-13 18:24:34 2024-03-21 2022-01-13 BOOK