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About The Cauchy problem in general relativity
Introduction Outline Part I. Background from the theory of partial differential equations: Functional analysis The Fourier transform Sobolev spaces Sobolev embedding Symmetric hyperbolic systems Linear wave equations Local existence, non-linear wave equations Part II. Background in geometry, global hyperbolicity and uniqueness: Basic Lorentz geometry Characterizations of global hyperbolicity Uniqueness of solutions to linear wave equations Part III. General relativity: The constraint equations Local existence Cauchy stability Existence of a maximal globally hyperbolic development Part IV. Pathologies, strong cosmic censorship: Preliminaries Constant mean curvature Initial data Einstein's vacuum equations Closed universe recollapse Asymptotic behaviour LRS Bianchi class A solutions Existence of extensions Existence of inequivalent extensions Appendices Bibliography Index
Detailed Information
| Author: | Ringstrom H. |
|---|---|
| Publication Year: | 2009 |
| ISBN: | 9783037190531 |
| Pages: | 308 |
| Language: | English |
| File Size: | 1.407 |
| Format: | |
| Price: | FREE |
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