The General Theory of Relativity A Mathematical Exposition /

• Κύριοι συγγραφείς: Das, Anadijiban (Συγγραφέας), DeBenedictis, Andrew (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2012.
• Θέματα: Physics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Mathematical physics.; Gravitation.; Cosmology.; Classical and Quantum Gravitation, Relativity Theory.; Mathematical Physics.; Mathematical Applications in the Physical Sciences.; Global Analysis and Analysis on Manifolds.

 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...

Πίνακας περιεχομένων:

• 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.