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

The Global Nonlinear Stability of the Minkowski Space (PMS-41) / / Demetrios Christodoulou, Sergiu Klainerman.

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,...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999
VerfasserIn:
Christodoulou, Demetrios,
Klainerman, Sergiu,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2014]
©1994
Year of Publication:2014
Edition:Course Book
Language:English
Series:Princeton Mathematical Series ; 153
Online Access:
Physical Description:1 online resource (526 p.)
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Table of Contents:
  • Frontmatter
  • Table of Contents
  • Acknowledgments
  • CHAPTER 1. Introduction
  • Part I. Preliminary Results in 2- and 3-Dimensional Riemannian Geometry
  • CHAPTER 2. Generalized Hodge Systems in 2-D
  • CHAPTER 3. General Results in 3-D Geometry
  • CHAPTER 4. The Poisson Equation in 3-D
  • CHAPTER 5. Curvature of an Initial Data Set
  • CHAPTER 6. Deformation of 2-Surfaces in 3-D
  • Part II. Bianchi Equations in Space-Time
  • CHAPTER 7. The Comparison Theorem
  • CHAPTER 8. The Error Estimates
  • Part III. Construction of Global Space- Times. Proof of the Main Theorem
  • CHAPTER 9. Construction of the Optical Function
  • CHAPTER 10. Third Version of the Main Theorem
  • CHAPTER 11. Second Fundamental Form
  • CHAPTER 12. The Lapse Function
  • CHAPTER 13. Derivatives of the Optical Function
  • CHAPTER 14. The Last Slice
  • CHAPTER 15. The Matching
  • CHAPTER 16. The Rotation Vectorfields
  • CHAPTER 17. Conclusions
  • Bibliography

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