Update available: http://www.livingreviews.org/lrr-2005-6
Alan D. Rendall
Max-Planck-Institut für Gravitationsphysik
Schlaatzweg 1, 14473 Potsdam, Germany
rendall@aei-potsdam.mpg.de
http://www.aei-potsdam.mpg.de/~rendall/rendall.html
(Accepted 15 January 1998)
Abstract
This article is a guide to the literature on existence theorems for the Einstein equations which also draws attention to open problems in the field. The local in time Cauchy problem, which is relatively well understood, is treated first. Next global results for solutions with symmetry are discussed. This is followed by a presentation of global results in the case of small data, and some miscellaneous topics connected with the main theme.
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Local and global existence theorems for the Einstein
equations
Alan D. Rendall http://www.livingreviews.org/lrr-1998-4 © Max-Planck-Gesellschaft. ISSN 1433-8351 Problems/Comments to livrev@aei-potsdam.mpg.de |