Geometric bounds in spherically symmetric general relativity

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dc.contributor.author Guven, Jemal
dc.contributor.author Ó Murchadha, Niall
dc.date.accessioned 2017-08-29T09:14:25Z
dc.date.available 2017-08-29T09:14:25Z
dc.date.issued 1997
dc.identifier.citation Guven, J. and Ó Murchadha, N. (1997) 'Geometric bounds in spherically symmetric general relativity', Physical Review D, 56(12), 7650-7657 (8pp). doi: 10.1103/PhysRevD.56.7650 en
dc.identifier.volume 56
dc.identifier.issued 12
dc.identifier.startpage 7650
dc.identifier.endpage 7657
dc.identifier.issn 0556-2821
dc.identifier.uri http://hdl.handle.net/10468/4582
dc.identifier.doi 10.1103/PhysRevD.56.7650
dc.description.abstract We exploit an arbitrary extrinsic time foliation of spacetime to solve the constraints in spherically symmetric general relativity. Among such foliations there is a one parameter family, linear and homogeneous in the extrinsic curvature, which permit the momentum constraint to be solved exactly. This family includes, as special cases, the extrinsic time gauges that have been exploited in the past. These foliations have the property that the extrinsic curvature is spacelike with respect to the the spherically symmetric superspace metric. What is remarkable is that the linearity can be relaxed at no essential extra cost which permits us to isolate a large nonpathological dense subset of all extrinsic time foliations. We now identify properties of solutions which are independent of the particular foliation within this subset. When the geometry is regular, we can place spatially invariant numerical bounds on the values of both the spatial and the temporal gradients of the scalar areal radius R. These bounds are entirely independent of the particular gauge and of the magnitude of the sources. When singularities occur, we demonstrate that the geometry behaves in a universal way in the neighborhood of the singularity. These results can be exploited to develop necessary and sufficient conditions for the existence of both apparent horizons and singularities in the initial data which do not depend sensitively on the foliation. (S0556-2821(97)05224-7). 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.56.7650
dc.rights © 1997, American Physical Society en
dc.subject Configuration-space en
dc.subject Trapped surfaces en
dc.subject Optical scalars en
dc.subject Constraints en
dc.subject Stars en
dc.title Geometric bounds in spherically symmetric general relativity 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:000071043600017
dc.description.status Peer reviewed en
dc.identifier.journaltitle Physical Review D en
dc.internal.IRISemailaddress niall@ucc.ie en


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