Necessary conditions for apparent horizons and singularities in spherically symmetric initial data

dc.contributor.authorGuven, Jemal
dc.contributor.authorÓ Murchadha, Niall
dc.date.accessioned2017-08-29T09:14:25Z
dc.date.available2017-08-29T09:14:25Z
dc.date.issued1997
dc.description.abstractWe establish necessary conditions for the appearance of both apparent horizons and singularities in the initial data of spherically symmetric general relativity when spacetime is foliated extrinsically. When the dominant energy condition is satisfied these conditions assume a particularly simple form. Let rho(max) be the maximum value of the energy density and l the radial measure of its support. If rho(max) l(2) is bounded from above by some numerical constant, the initial data cannot possess an apparent horizon. This constant does not depend sensitively on the gauge. An analogous inequality is obtained for singularities with some larger constant. The derivation exploits Poincare-type inequalities to bound integrals over certain spatial scalars. A novel approach to the construction of analogous necessary conditions for general initial data is suggested. (S0556-2821(97)01324-6).en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationGuven, J. and Ó Murchadha, N. (1997) 'Necessary conditions for apparent horizons and singularities in spherically symmetric initial data', Physical Review D, 56(12), 7666-7673 (8pp). doi: 10.1103/PhysRevD.56.7666en
dc.identifier.doi10.1103/PhysRevD.56.7666
dc.identifier.endpage7673
dc.identifier.issn0556-2821
dc.identifier.issued12
dc.identifier.journaltitlePhysical Review Den
dc.identifier.startpage7666
dc.identifier.urihttps://hdl.handle.net/10468/4584
dc.identifier.volume56
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttps://journals.aps.org/prd/abstract/10.1103/PhysRevD.56.7666
dc.rights© 1997, American Physical Societyen
dc.subjectClassical general-relativityen
dc.subjectTrapped surfacesen
dc.subjectHoop conjectureen
dc.subjectBlack-holeen
dc.subjectConfiguration-spaceen
dc.subjectOptical scalarsen
dc.subjectConstraintsen
dc.subjectMatteren
dc.subjectStarsen
dc.titleNecessary conditions for apparent horizons and singularities in spherically symmetric initial dataen
dc.typeArticle (peer-reviewed)en
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