Toroidal trapped surfaces and isoperimetric inequalities

Autor:	Karkowski, Janusz, Mach, Patryk, Malec, Edward, O'Murchadha, Niall, Xie, Naqing
Rok vydání:	2017
Předmět:	General Relativity and Quantum Cosmology Mathematical Physics
Zdroj:	Phys. Rev. D 95, 064037 (2017)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevD.95.064037
Popis:	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. Comment: 4 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1701.02861 Zobrazit plný text záznamu View this record from Arxiv