The Global Nonlinear Stability of the Minkowski Space (Pms-41) (Paperback) (ISBN-13: 9780691603155)

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.

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Author: Demetrios Christodoulou, Sergiu Klainerman
ISBN-10: 0691603154
ISBN-13: 9780691603155
Publisher: Princeton University Press
Language: English
Published: 07/14/2014
Pages: 526
Format: Paperback
Weight: 1.61lbs
Size: 9.21h x 6.14w x 1.06d