General spherically symmetric constant mean curvature foliations of the Schwarzschild solution

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dc.contributor.authorMalec, Edward
dc.contributor.authorÓ Murchadha, Niall
dc.date.accessioned2017-08-29T09:04:01Z
dc.date.available2017-08-29T09:04:01Z
dc.date.issued2009
dc.description.abstractWe consider a family of spherical three-dimensional spacelike slices embedded in the Schwarzschild solution. The mean curvature is constant on each slice but can change from slice to slice. We give a simple expression for an everywhere positive lapse and thus we show how to construct foliations. There is a barrier preventing the mean curvature from becoming large, and we show how to avoid this so as to construct a foliation where the mean curvature runs all the way from zero to infinity. No foliation exists where the mean curvature goes from minus to plus infinity. There are slicings, however, where each slice passes through the bifurcation sphere R=2M and the lapse only vanishes at this one point, and is positive everywhere else, while the mean curvature does run from minus to plus infinity. Symmetric foliations of the extended Schwarzschild spacetime degenerate at a critical point, where we show that the lapse function exponentially approaches zero.en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid24017
dc.identifier.citationMalec, E. and Ó Murchadha, N. (2009) 'General spherically symmetric constant mean curvature foliations of the Schwarzschild solution', Physical Review D, 80(2), 024017 (8pp). doi: 10.1103/PhysRevD.80.024017en
dc.identifier.doi10.1103/PhysRevD.80.024017
dc.identifier.issn1550-7998
dc.identifier.issued2
dc.identifier.journaltitlePhysical Review Den
dc.identifier.urihttps://hdl.handle.net/10468/4569
dc.identifier.volume80
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttps://journals.aps.org/prd/abstract/10.1103/PhysRevD.80.024017
dc.rights© 2009, American Physical Societyen
dc.subjectTimeen
dc.titleGeneral spherically symmetric constant mean curvature foliations of the Schwarzschild solutionen
dc.typeArticle (peer-reviewed)en
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