The general theory of relativity : a mathematical exposition

 The General Theory of Relativity: A Mathematical Exposition will serve readers as a modern mathematical introduction to the general theory of relativity. Throughout the book, examples, worked-out problems, and exercises (with hints and solutions) are furnished. Topics in this book include, but are...

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Détails bibliographiques
Auteurs principaux: Das, Anadijiban, DeBenedictis, Andrew (Auteur)
Format: Livre numérique
Langue:Anglais
Publié: New York, NY : Springer New York [20..].
Cham : Springer Nature
Édition:1st ed. 2012.
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Note: L'impression du document génère 670 p.
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• The general theory of relativity, a mathematical exposition, Anadijiban Das, Andrew DeBenedictis, New York, Springer, 2012, 1 vol. (XXVI-678 p.), 978-1-461-43657-7
Table des matières:
  • Tensor Analysis on Differentiable Manifolds The Pseudo-Riemannian Space-Time Manifold M4 Spherically Symmetric Space-Time Domains Static and Stationary Space-Time Domains Black Holes Cosmology Algebraic Classification of Field Equations The Coupled Einstein-Maxwell-Klein-Gordon Equations Appendix 1: Variational Derivation of Differential Equations Appendix 2: Partial Differential Equations Appendix 3: Canonical Forms of Matrices Appendix 4: Conformally Flat Space-Times and "the Fifth Force" Appendix 5: Linearized Theory and Gravitational Waves Appendix 6: Exotic Solutions: Wormholes, Warp-Drives, and Time Machines Appendix 7: Gravitational Instantons Appendix 8: Computational Symbolic Algebra Calculations References Index of Symbols Index