The inverse mean curvature flow in cosmological spacetimes

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dc.creatorGerhardt, Claus
dc.date2004-03-04
dc.date2008-09-26
dc.date.accessioned2026-07-07T10:05:22Z
dc.date.available2026-07-07T10:05:22Z
dc.descriptionWe prove that the leaves of an inverse mean curvature flow provide a foliation of a future end of a cosmological spacetime $N$ under the necessary and sufficent assumptions that $N$ satisfies a future mean curvature barrier condition and a strong volume decay condition. Moreover, the flow parameter $t$ can be used to define a new physically important time function.
dc.description22 pages, v2: Some minor typos corrected, will be the published version
dc.identifierhttps://arxiv.org/abs/math/0403097
dc.identifierhttp://arxiv.org/abs/math/0403097
dc.identifierAdv. Theor. Math. Phys. 12, 1183 - 1207 (2008)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169991
dc.subjectDifferential Geometry
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subject35J60, 53C21, 53C44, 53C50, 58J05
dc.titleThe inverse mean curvature flow in cosmological spacetimes
dc.typetext

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