Toroidal trapped surfaces and isoperimetric inequalities

dc.contributor.authorKarkowski, Janusz
dc.contributor.authorMach, Patryk
dc.contributor.authorMalec, Edward
dc.contributor.authorÓ Murchadha, Niall
dc.contributor.authorXie, Naqing
dc.contributor.funderNarodowe Centrum Nauki
dc.contributor.funderNational Natural Science Foundation of China
dc.date.accessioned2017-08-29T09:04:01Z
dc.date.available2017-08-29T09:04:01Z
dc.date.issued2017
dc.description.abstractWe analytically construct an infinite number of trapped toroids in spherically symmetric Cauchy hypersurfaces of the Einstein equations. We focus on initial data which represent "constant density stars" momentarily at rest. There exists an infinite number of constant mean curvature tori, but we also deal with more general configurations. The marginally trapped toroids have been found analytically and numerically; they are unstable. The topologically toroidal trapped surfaces appear in a finite region surrounded by the Schwarzschild horizon.en
dc.description.sponsorshipNarodowe Centrum Nauki (DEC-2012/06/A/ST2/00397); National Natural Science Foundation of China (11671089, 11421061)
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid64037
dc.identifier.citationKarkowski, J., Mach, P., Malec, E., Ó Murchadha, N. and Xie, N. (2017) 'Toroidal trapped surfaces and isoperimetric inequalities', Physical Review D, 95(6), 064037 (4pp). doi: 10.1103/PhysRevD.95.064037en
dc.identifier.doi10.1103/PhysRevD.95.064037
dc.identifier.issn2470-0010
dc.identifier.issn2470-0029
dc.identifier.issued6
dc.identifier.journaltitlePhysical Review Den
dc.identifier.urihttps://hdl.handle.net/10468/4565
dc.identifier.volume95
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttps://journals.aps.org/prd/abstract/10.1103/PhysRevD.95.064037
dc.rights© 2017, American Physical Societyen
dc.subjectBlack-holesen
dc.titleToroidal trapped surfaces and isoperimetric inequalitiesen
dc.typeArticle (peer-reviewed)en
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