Cosmological time versus CMC time I: Flat spacetimes

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dc.creatorAndersson, Lars
dc.creatorBarbot, Thierry
dc.creatorBeguin, Francois
dc.creatorZeghib, Abdelghani
dc.date2006-04-22
dc.date2006-05-03
dc.date.accessioned2026-07-07T07:11:11Z
dc.date.available2026-07-07T07:11:11Z
dc.descriptionThis paper gives a new proof that maximal, globally hyperbolic, flat spacetimes of dimension $n\geq 3$ with compact Cauchy hypersurfaces are globally foliated by Cauchy hypersurfaces of constant mean curvature, and that such spacetimes admit a globally defined constant mean curvature time function precisely when they are causally incomplete. The proof, which is based on using the level sets of the cosmological time function as barriers, is conceptually simple and will provide the basis for future work on constant mean curvature time functions in general constant curvature spacetimes, as well for an analysis of the asymptotics of constant mean foliations.
dc.description22 pages, improved presentation
dc.identifierhttps://arxiv.org/abs/math/0604486
dc.identifierhttp://arxiv.org/abs/math/0604486
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111657
dc.subjectDifferential Geometry
dc.titleCosmological time versus CMC time I: Flat spacetimes
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