Gravitational collapse to toroidal, cylindrical and planar black holes with gravitational and other forms of radiation
Abstract
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. In the process, the collapsing matter absorbs energy in the form of radiation (be it neutrinos, electromagnetic, or gravitational) from the background 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.Keywords
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