Toroidal trapped surfaces and isoperimetric inequalities
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Date
2017
Authors
Karkowski, Janusz
Mach, Patryk
Malec, Edward
Ó Murchadha, Niall
Xie, Naqing
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American Physical Society
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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.
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Black-holes
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
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© 2017, American Physical Society