On a wave map equation arising in general relativity

DOI10.1002/cpa.20015zbMath1059.83011arXivgr-qc/0303062OpenAlexW2099065388MaRDI QIDQ4739589

Hans Ringström

Publication date: 6 August 2004

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0303062

zbMATH Keywords

asymptotic behaviourGowdy spacetimeswave map equationinhomogeneous spacetimesspacial homogeneous spacetimestwo-dimensional group of isometries

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30)

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Cites Work

• On space-times with U(1)\(\times U(1)\) symmetric compact Cauchy surfaces
• Vacuum spacetimes with two-parameter spacelike isometry groups and compact invariant hypersurfaces: Topologies and boundary conditions