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The global nonlinear stability of the Minkowski space

Author: Demetrios Christodoulou; Sergiu Klainerman
Publisher: Princeton : Princeton University Press, 1993.
Series: Princeton mathematical series, 41.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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 singularities. The work contains a detailed description of the sense in
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Demetrios Christodoulou; Sergiu Klainerman
ISBN: 0691087776 9780691087771
OCLC Number: 25833040
Description: ix, 514 pages ; 25 cm.
Contents: 1. Introduction --
I. Preliminary Results in 2-and 3-Dimensional Riemannian Geometry. 2. Generalized Hodge Systems in 2-D. 3. General Results in 3-D Geometry. 4. The Poisson Equation in 3-D. 5. Curvature of an Initial Data Set. 6. Deformation of 2-Surfaces in 3-D --
II. Bianchi Equations in Space-Time. 7. The Comparison Theorem. 8. The Error Estimates --
III. Construction of Global Space-Times. Proof of the Main Theorem. 9. Construction of the Optical Function. 10. Third Version of the Main Theorem. 11. Second Fundamental Form. 12. The Lapse Function. 13. Derivatives of the Optical Function. 14. The Last Slice. 15. The Matching. 16. The Rotation Vectorfields --
17. Conclusions.
Series Title: Princeton mathematical series, 41.
Responsibility: Demetrios Christodoulou and Sergiu Klainerman.
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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  Read more...

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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 more...

 
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