Local and Global Existence Theorems for the Einstein Equations

Details Local and Global Existence Theorems for the Einstein Equations Local and Global Existence Theorems for the Einstein Equations

Sep 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002lrr.....5....6r&link_type=abstract

Living Reviews in Relativity

Mathematics

Logic

2

Scientific paper

This article is a guide to theorems on existence and global dynamics of solutions ofthe Einstein equations. It draws attention to open questions in the field. The local-in-time Cauchy problem, which is relatively well understood, is surveyed. Global results for solutions with various types of symmetry are discussed. A selection of results from Newtonian theory and special relativity that offer useful comparisons is presented. Treatments of global results in the case of small data and results on constructing spacetimes with prescribed singularity structure are given. A conjectural picture of the asymptotic behaviour of general cosmological solutions of the Einstein equations is built up. Some miscellaneous topics connected with the main theme are collected in a separate section.

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