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

Christodoulou, Demetrios; Klainerman, Sergiu

ISBN 10: 0691087776 / ISBN 13: 9780691087771

Edité par Princeton University Press, 1994

Unmarked hardcover with light edge wear of jacket. N° de réf. du vendeur 147199

Synopsis :

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 a rigorous derivation of the laws of gravitation proposed by Bondi can be given. 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.

Détails bibliographiques

Titre : The Global Nonlinear Stability of the ...
Éditeur : Princeton University Press
Date d'édition : 1994
Reliure : hardcover
Etat : Very Good