Local and global existence theorems for the Einstein equations

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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....

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Detalles Bibliográficos
Autor principal: Rendall, Alan D.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 1998
Materias:
Review Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5256112/
https://www.ncbi.nlm.nih.gov/pubmed/28191827
http://dx.doi.org/10.12942/lrr-1998-4
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author Rendall, Alan D.
author_facet Rendall, Alan D.
author_sort Rendall, Alan D.
collection PubMed
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. 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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spelling pubmed-52561122017-02-06 Local and global existence theorems for the Einstein equations Rendall, Alan D. Living Rev Relativ Review Article 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. Springer International Publishing 1998-01-26 1998 /pmc/articles/PMC5256112/ /pubmed/28191827 http://dx.doi.org/10.12942/lrr-1998-4 Text en © The Author(s) 1998
spellingShingle Review Article
Rendall, Alan D.
Local and global existence theorems for the Einstein equations
title Local and global existence theorems for the Einstein equations
title_full Local and global existence theorems for the Einstein equations
title_fullStr Local and global existence theorems for the Einstein equations
title_full_unstemmed Local and global existence theorems for the Einstein equations
title_short Local and global existence theorems for the Einstein equations
title_sort local and global existence theorems for the einstein equations
topic Review Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5256112/
https://www.ncbi.nlm.nih.gov/pubmed/28191827
http://dx.doi.org/10.12942/lrr-1998-4
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