Toroidal trapped surfaces and isoperimetric inequalities
dc.contributor.author | Karkowski, Janusz | |
dc.contributor.author | Mach, Patryk | |
dc.contributor.author | Malec, Edward | |
dc.contributor.author | Ó Murchadha, Niall | |
dc.contributor.author | Xie, Naqing | |
dc.contributor.funder | Narodowe Centrum Nauki | |
dc.contributor.funder | National Natural Science Foundation of China | |
dc.date.accessioned | 2017-08-29T09:04:01Z | |
dc.date.available | 2017-08-29T09:04:01Z | |
dc.date.issued | 2017 | |
dc.description.abstract | We 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.sponsorship | Narodowe Centrum Nauki (DEC-2012/06/A/ST2/00397); National Natural Science Foundation of China (11671089, 11421061) | |
dc.description.status | Peer reviewed | en |
dc.description.version | Published Version | en |
dc.format.mimetype | application/pdf | en |
dc.identifier.articleid | 64037 | |
dc.identifier.citation | Karkowski, 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.95.064037 | en |
dc.identifier.doi | 10.1103/PhysRevD.95.064037 | |
dc.identifier.issn | 2470-0010 | |
dc.identifier.issn | 2470-0029 | |
dc.identifier.issued | 6 | |
dc.identifier.journaltitle | Physical Review D | en |
dc.identifier.uri | https://hdl.handle.net/10468/4565 | |
dc.identifier.volume | 95 | |
dc.language.iso | en | en |
dc.publisher | American Physical Society | en |
dc.relation.uri | https://journals.aps.org/prd/abstract/10.1103/PhysRevD.95.064037 | |
dc.rights | © 2017, American Physical Society | en |
dc.subject | Black-holes | en |
dc.title | Toroidal trapped surfaces and isoperimetric inequalities | en |
dc.type | Article (peer-reviewed) | en |
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