RINGSTROM, HANS - The Cauchy Problem in General Relativity

Zurich: European Mathematical Society, 2000. First Edition. Softcover. ISBN: 3037190531. Only slight wear ; A bright, solid book, ; ESI Lectures in Mathematics and Physics; Large 8vo 9" - 10" tall; 294 pages; The book consists of "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 and Index". Near Fine .

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