Existence of maximal hypersurfaces in some spherically symmetric spacetimes

DOI10.1088/0264-9381/13/1/010zbMath0843.53047arXivgr-qc/9508001OpenAlexW2066922550MaRDI QIDQ4865464

Gregory A. Burnett, Alan D. Rendall

Publication date: 15 August 1996

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9508001

zbMATH Keywords

spherically symmetric spacetimevolume boundtimelike convergence conditionconstant mean curvature Cauchy surfacemaximal Cauchy surface

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) Space-time singularities, cosmic censorship, etc. (83C75) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

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