General Theory of Relativity (eBook)
XXVI, 678 Seiten
Springer New York (Verlag)
978-1-4614-3658-4 (ISBN)
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 not limited to:
tensor analysis
the special theory of relativity
the general theory of relativity and Einstein's field equations
spherically symmetric solutions and experimental confirmations
static and stationary space-time domains
black holes
cosmological models
algebraic classifications and the Newman-Penrose equations
the coupled Einstein-Maxwell-Klein-Gordon equations
appendices covering mathematical supplements and special topics
Mathematical rigor, yet very clear presentation of the topics make this book a unique text for both university students and research scholars.
Anadijiban Das has taught courses on Relativity Theory at The University College of Dublin, Ireland, Jadavpur University, India, Carnegie-Mellon University, USA, and Simon Fraser University, Canada. His major areas of research include, among diverse topics, the mathematical aspects of general relativity theory.
Andrew DeBenedictis has taught courses in Theoretical Physics at Simon Fraser University, Canada, and is also a member of The Pacific Institute for the Mathematical Sciences. His research interests include quantum gravity, classical gravity, and semi-classical gravity.
Anadijiban Das, Simon Fraser University, Burnaby, British Columbia, Canada, das@sfu.ca
Andrew DeBenedictis, Simon Fraser University, Burnaby, British Columbia, Canada, adebened@sfu.ca
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 not limited to: tensor analysis the special theory of relativity the general theory of relativity and Einstein's field equations spherically symmetric solutions and experimental confirmations static and stationary space-time domains black holes cosmological models algebraic classifications and the Newman-Penrose equations the coupled Einstein-Maxwell-Klein-Gordon equations appendices covering mathematical supplements and special topics Mathematical rigor, yet very clear presentation of the topics make this book a unique text for both university students and research scholars.Anadijiban Das has taught courses on Relativity Theory at The University College of Dublin, Ireland, Jadavpur University, India, Carnegie-Mellon University, USA, and Simon Fraser University, Canada. His major areas of research include, among diverse topics, the mathematical aspects of general relativity theory.Andrew DeBenedictis has taught courses in Theoretical Physics at Simon Fraser University, Canada, and is also a member of The Pacific Institute for the Mathematical Sciences. His research interests include quantum gravity, classical gravity, and semi-classical gravity.
Anadijiban Das, Simon Fraser University, Burnaby, British Columbia, Canada, das@sfu.ca Andrew DeBenedictis, Simon Fraser University, Burnaby, British Columbia, Canada, adebened@sfu.ca
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.
| Erscheint lt. Verlag | 26.6.2012 |
|---|---|
| Zusatzinfo | XXVI, 678 p. |
| Verlagsort | New York |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik | |
| Naturwissenschaften ► Physik / Astronomie ► Relativitätstheorie | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Technik | |
| Schlagworte | Black Holes • Einsteinâs Field Equations • Einstein-Maxwell-Klein-Gordon Equations • Einstein’s Field Equations • General Relativity Mathematical Approach • General Relativity Text • Newman-Penrose Formalism • Pseudo-Riemannian Space-Time Manifold |
| ISBN-10 | 1-4614-3658-3 / 1461436583 |
| ISBN-13 | 978-1-4614-3658-4 / 9781461436584 |
| Haben Sie eine Frage zum Produkt? |
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