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The Cauchy Problem in General Relativity (ESI Lectures in Mathematics and Physics) by Ringstrom H. is a nonfiction available to read on EtoBox.
What is The Cauchy Problem in General Relativity (ESI Lectures in Mathematics and Physics) about?
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
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- Author
- Ringstrom H.
- Publisher
- European Mathematical Society Publishing House
- Published
- 2009
- Language
- EN
- ISBN
- 9783037190531
- Category
- nonfiction
- Subjects
- Mathematics, Stem
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