Gravitational collapse to toroidal, cylindrical and planar black holes

Details Gravitational collapse to toroidal, cylindrical and planar black holes Gravitational collapse to toroidal, cylindrical and planar black holes

1997-09-04

arxiv.org/abs/gr-qc/9709013v2

Phys.Rev. D57 (1998) 4600-4605

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, Revtex, modifications in the title and in the interpretation of some results, to appear in Physical Review D

Scientific paper

10.1103/PhysRevD.57.4600

Gravitational collapse of non-spherical symmetric matter leads inevitably to non-static external spacetimes. It is shown here that gravitational collapse of matter with toroidal topology in a toroidal anti-de Sitter background proceeds to form a toroidal black hole. According to the analytical model presented, the collapsing matter absorbs energy in the form of radiation (be it scalar, neutrinos, electromagnetic, or gravitational) from the exterior spacetime. Upon decompactification of one or two coordinates of the torus one gets collapsing solutions of cylindrical or planar matter onto black strings or black membranes, respectively. The results have implications on the hoop conjecture.

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