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  Local and global existence theorems for the Einstein equations

Rendall, A. D. (2000). Local and global existence theorems for the Einstein equations. Living Reviews in Relativity, 3: lrr-2000-1.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5799-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-579A-B
Genre: Journal Article

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2787.pdf (Preprint), 297KB
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 Creators:
Rendall, Alan D.1, Author              
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 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. 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.

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Language(s): eng - English
 Dates: 2000
 Publication Status: Published in print
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 Identifiers: eDoc: 2787
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Title: Living Reviews in Relativity
Source Genre: Journal
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Pages: - Volume / Issue: 3 Sequence Number: lrr-2000-1 Start / End Page: - Identifier: -