Theorems on existence and global dynamics for the Einstein equations

dc.creatorRendall, Alan D.
dc.date2002-03-04
dc.date.accessioned2026-07-07T11:29:56Z
dc.date.available2026-07-07T11:29:56Z
dc.descriptionThis article is a guide to theorems on existence and global dynamics of solutions of the 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 which 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.
dc.description54 pages, submitted to Living Reviews in Relativity
dc.identifierhttps://arxiv.org/abs/gr-qc/0203012
dc.identifierhttp://arxiv.org/abs/gr-qc/0203012
dc.identifierLivingRev.Rel.5:6,2002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196874
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleTheorems on existence and global dynamics for the Einstein equations
dc.typetext

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