General spherically symmetric constant mean curvature foliations of the Schwarzschild solution

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dc.contributor.author Malec, Edward
dc.contributor.author Ó Murchadha, Niall
dc.date.accessioned 2017-08-29T09:04:01Z
dc.date.available 2017-08-29T09:04:01Z
dc.date.issued 2009
dc.identifier.citation Malec, 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.80.024017 en
dc.identifier.volume 80
dc.identifier.issued 2
dc.identifier.issn 1550-7998
dc.identifier.uri http://hdl.handle.net/10468/4569
dc.identifier.doi 10.1103/PhysRevD.80.024017
dc.description.abstract We 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.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher American Physical Society en
dc.relation.uri https://journals.aps.org/prd/abstract/10.1103/PhysRevD.80.024017
dc.rights © 2009, American Physical Society en
dc.subject Time en
dc.title General spherically symmetric constant mean curvature foliations of the Schwarzschild solution en
dc.type Article (peer-reviewed) en
dc.internal.authorcontactother Niall Ó Murchadha, Physics, University College Cork, Cork, Ireland. +353-21-490-3000. Email: niall@ucc.ie en
dc.internal.availability Full text available en
dc.description.version Published Version en
dc.internal.wokid WOS:000268618800068
dc.description.status Peer reviewed en
dc.identifier.journaltitle Physical Review D en
dc.internal.IRISemailaddress niall@ucc.ie en
dc.identifier.articleid 24017


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