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

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

Label
The Global Nonlinear Stability of the Minkowski Space (PMS-41)
Title
The Global Nonlinear Stability of the Minkowski Space (PMS-41)
Statement of responsibility
Sergiu Klainerman, Demetrios Christodoulou
Creator
Contributor
Author
Subject
Language
  • eng
  • eng
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 which these solutions are close to the Minkowski space-time, in all directions. It thus provides the mathematical framework in which we can give a rigorous derivation of the laws of gravitation proposed by Bondi. Moreover, it establishes other important conclusions concerning the nonlinear character of gravitational radiation. The authors obtain their solutions as dynamic developments of all initial data sets, which are close, in a precise manner, to the flat initial data set corresponding to the Minkowski space-time. They thus establish the global dynamic stability of the latter.Originally published in 1994.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
Cataloging source
DE-B1597
http://library.link/vocab/creatorName
Christodoulou, Demetrios
Government publication
other
LC call number
QC173.59.S65
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Klainerman, Sergiu
Series statement
Princeton Mathematical Series
Series volume
153
http://library.link/vocab/subjectName
  • Generalized spaces
  • Nonlinear theories
  • Space and time
  • MATHEMATICS / Geometry / Non-Euclidean
Target audience
specialized
Label
The Global Nonlinear Stability of the Minkowski Space (PMS-41), Sergiu Klainerman, Demetrios Christodoulou
Instantiates
Publication
Copyright
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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
  • Frontmatter
  • 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
  • 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
Edition
Course Book
Extent
1 online resource
Form of item
online
Isbn
9781400863174
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1515/9781400863174
Specific material designation
remote
System control number
  • (DE-B1597)447505
  • (OCoLC)979746759
  • (DE-B1597)9781400863174
Label
The Global Nonlinear Stability of the Minkowski Space (PMS-41), Sergiu Klainerman, Demetrios Christodoulou
Publication
Copyright
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 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
  • Frontmatter
  • 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
  • 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
Edition
Course Book
Extent
1 online resource
Form of item
online
Isbn
9781400863174
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1515/9781400863174
Specific material designation
remote
System control number
  • (DE-B1597)447505
  • (OCoLC)979746759
  • (DE-B1597)9781400863174

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