Post-conflict statebuilding and forced migration

2005/05/26 by Alan D. Rendall, Dominik Zaum · 4 citations
Mathematics · Physics and Astronomy · Social Sciences · #Advanced Differential Geometry Research #Asian Geopolitics and Ethnography #Black Holes and Theoretical Physics #Circular symmetry #Cosmology and Gravitation Theories #Dynamics (music) #Einstein #Einstein equations #Forced migration #General relativity #Geometry #Global Peace and Security Dynamics #Law #Mathematical analysis #Mathematical physics #Mathematics #Migration and Labor Dynamics #Physics #Political science #Refugee #Singularity #Symmetry (geometry) #Theoretical physics #gr-qc

paper · pdf · doi:10.12942/lrr-2005-6

published as LivingRev.Rel.8:6,2002 · Submitted to Living Reviews in Relativity, major update of Living Rev. Rel. 5 (2002) 6

arxiv created 2005/05/26 · openalex publication_date 2010/01/01 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/31

Abstract

This 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 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 or late-time asymptotics 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.

Citations

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Cited by

• Asymptotic behaviour of the relativistic Boltzmann equation in the Robertson-Walker spacetime
• Localized continuation criterion, improved local existence and uniqueness for the Euler-Poisson system in a bounded domain
• Smooth Gowdy-symmetric generalized Taub–NUT solutions
• Einstein field equations [wikipedia]