The general theory of relativity
Subtitle: a mathematical exposition
By: Anadijiban Das, Andrew DeBenedictis
Contributors: DeBenedictis, Andrew, 1971-
Publisher: Springer
Published: 2012
Place of publication: New York; London
Language: eng
Number of pages: 678
ISBN-13: 9781461436577
Subjects: General relativity (Physics); Mathematics
Notes: Includes bibliographical references and index.
Table of contents: title: 1. Tensor analysis on differentiable manifolds; title: 2. The pseudo-riemannian space-time manifold M₄; title: 3. Spherically symmetric space-time domains; title: 4. Static and stationary space-time domains; title: 5. Black holes; title: 6. Cosmology; title: 7. Algebraic classification of field equations; title: 8. The coupled Einstein-Maxwell-Klein-Gordon equations; title: Appendix 1. Variational derivation of differential equations; title: Appendix 2. Partial differential equations; title: Appendix 3. Canonical forms of matrices; title: Appendix 4. Conformally flat space-times and "the fifth force"; title: Appendix 5. Linearized theory and gravitational waves; title: Appendix 6. Exotic solutions: wormholes, warp-drives, and time machines; title: Appendix 7. Gravitational instantons; title: Appendix 8. Computational symbolic algebra calculations.