All black holes in Lemaˆıtre-Tolman-Bondi inhomogeneous dust collapse
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Date
2015-09-08
Authors
Joshi, Pankaj S.
Malafarina, D.
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Abstract
Within the Lemaˆıtre-Tolman-Bondi formalism for gravitational collapse of inhomogeneous dust we analyze the parameter space that leads to the formation of a globally covered singularity (i.e. a black hole) when some physically reasonable requirements are imposed (namely positive radially decreasing and quadratic profile for
the energy density and avoidance of shell crossing singularities). It turns out that a black hole can occur as the endstate of collapse only if the singularity is simultaneous as in the standard Oppenheimer-Snyder scenario. Given a fixed density profile then there is one velocity profile for the infalling particles that will produce a black hole. All other allowed velocity profiles will terminate the collapse in a locally naked singularity.
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Keywords
Research Subject Categories::NATURAL SCIENCES::Physics, gravitational collapse, black holes, naked singularity
Citation
Joshi Pankaj S., Malafarina D.; 2015; All black holes in Lemaˆıtre-Tolman-Bondi inhomogeneous dust collapse; http://arxiv.org/find/all/1/all:+malafarina/0/1/0/all/0/1