The inverse mean curvature flow in Robertson-Walker spaces and its application to cosmology

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dc.creatorGerhardt, Claus
dc.date2004-04-27
dc.date2004-04-28
dc.date.accessioned2026-07-07T07:40:52Z
dc.date.available2026-07-07T07:40:52Z
dc.descriptionWe consider the inverse mean curvature flow in Robertson-Walker spacetimes that satisfy the Einstein equations and have a big crunch singularity and prove that under natural conditions the rescaled inverse mean curvature flow provides a smooth transition from big crunch to big bang. We also construct an example showing that in general the transition flow is only of class $C^3$.
dc.description9 pages, a pdf version can also be retrieved from http://www.math.uni-heidelberg.de/studinfo/gerhardt/rw.pdf and bibtex data from http://www.math.uni-heidelberg.de/studinfo/gerhardt/bibtexcgrw.html, v2: typos corrected
dc.identifierhttps://arxiv.org/abs/gr-qc/0404112
dc.identifierhttp://arxiv.org/abs/gr-qc/0404112
dc.identifierMethods Appl.Anal. 13 (2006) 19-28
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121911
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleThe inverse mean curvature flow in Robertson-Walker spaces and its application to cosmology
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