The global nonlinear stability of the Minkowski space
By: Demetrios Christodoulou and Sergiu Klainerman.
Contributors: Klainerman, Sergiu, 1950-
Series: Princeton mathematical series ;; 41
Publisher: Princeton University Press
Published: 1993
Place of publication: Princeton
Language: eng
Number of pages: 514
Subjects: Space and time -- Mathematics.; Generalized spaces.; Nonlinear theories.
Description: 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 spacetime, 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.
Notes: Includes bibliographical references (p. 513-514).