The Global Nonlinear Stability of the Minkowski Space (PMS-41)

Awards:   Winner of Bocher Memorial Prize of the American Mathematical Association 1999 (United States)
Author:   Demetrios Christodoulou ,  Sergiu Klainerman
Publisher:   Princeton University Press
Volume:   153
ISBN:  

9780691632551


Pages:   526
Publication Date:   19 April 2016
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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The Global Nonlinear Stability of the Minkowski Space (PMS-41)


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Awards

  • Winner of Bocher Memorial Prize of the American Mathematical Association 1999 (United States)

Overview

The 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 Details

Author:   Demetrios Christodoulou ,  Sergiu Klainerman
Publisher:   Princeton University Press
Imprint:   Princeton University Press
Volume:   153
Dimensions:   Width: 15.20cm , Height: 2.90cm , Length: 22.90cm
Weight:   0.907kg
ISBN:  

9780691632551


ISBN 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   Availability explained
We will order this item for you from a manufactured on demand supplier.
Language:   English

Table of Contents

Acknowledgments1Introduction1IPreliminary 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 Vectorfields46617Conclusions491Bibliography513

Reviews

Winner 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


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