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ID: 2787.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
Local and global existence theorems for the Einstein equations
Authors:Rendall, Alan D.
Language:English
Date of Publication (YYYY-MM-DD):2000
Title of Journal:Living Reviews in Relativity
Volume:3
Sequence Number of Article:lrr-2000-1
Review Status:not specified
Audience:Not Specified
Abstract / Description: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. A selection of results from Newtonian theory and special relativity which offer useful comparisons is presented. This is followed by a survey of global results in the case of small data and results on constructing spacetimes with given singularity structure. The article ends with some miscellaneous topics connected with the main theme.
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
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