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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Das, Anadijiban (Autor), DeBenedictis, Andrew (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Temas:
Gravitation.
Mathematical physics.
Cosmology.
Global analysis (Mathematics).
Manifolds (Mathematics).
Classical and Quantum Gravity.
Mathematical Physics.
Global Analysis and Analysis on Manifolds.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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