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OverviewThe aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singul Full Product DetailsAuthor: Demetrios Christodoulou , Sergiu KlainermanPublisher: Princeton University Press Imprint: Princeton University Press Volume: 153 Dimensions: Width: 15.20cm , Height: 2.90cm , Length: 22.90cm Weight: 0.907kg ISBN: 9780691632551ISBN 10: 0691632553 Pages: 526 Publication Date: 19 April 2016 Audience: College/higher education , Professional and scholarly , Tertiary & Higher Education , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Language: English Table of ContentsAcknowledgments1Introduction1IPreliminary Results in 2-and 3-Dimensional Riemannian Geometry2Generalized Hodge Systems in 2-D313General Results in 3-D Geometry534The Poisson Equation in 3-D785Curvature of an Initial Data Set1106Deformation of 2-Surfaces in 3-D121IIBianchi Equations in Space-Time7The Comparison Theorem1358The Error Estimates205IIIConstruction of Global Space-Times. Proof of the Main Theorem9Construction of the Optical Function26110Third Version of the Main Theorem28411Second Fundamental Form31112The Lapse Function34113Derivatives of the Optical Function35114The Last Slice41115The Matching44316The Rotation Vectorfields46617Conclusions491Bibliography513ReviewsWinner of the 1999 Bocher Memorial Prize, American Mathematical Association This book presents the authors' theorem on the stability of Minkowski space, a landmark in the development of mathematical relativity. The book is quite self-contained... The book is not easy to read, due to the very technical nature of its contents, but under the circumstances the quality of the exposition is excellent. --Mathematical Reviews Author InformationTab Content 6Author Website:Countries AvailableAll regions |