The Global Nonlinear Stability of the Minkowski Space. (PMS-41) - Demetrios Christodoulou, Sergiu Klainerman (1994)
ISBN 0691087776
Subject Generalized spaces; Nonlinear theories; Space and time - Mathematics
Publisher Princeton University Press
Publication Date 1/24/1994
Format Hardcover (241 x 165 mm)
Language e
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.
Personal Details
Collection Status In Collection
Index 262
Read It Yes
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Product Details
LoC Classification QC173.59.S65C57 1993
Dewey 530.1/1
Cover Price $89.50
No. of Pages 514