TY - JOUR

T1 - All black holes in Lemaître-Tolman-Bondi inhomogeneous dust collapse

AU - Joshi, Pankaj S.

AU - Malafarina, Daniele

N1 - Publisher Copyright:
© 2015 IOP Publishing Ltd.
Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.

PY - 2015/7/23

Y1 - 2015/7/23

N2 - Within the Lemaître-Tolman-Bondi formalism for the 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, a positive, radially decreasing and quadratic profile for the energy density and the 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, 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.

AB - Within the Lemaître-Tolman-Bondi formalism for the 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, a positive, radially decreasing and quadratic profile for the energy density and the 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, 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.

KW - black holes

KW - gravitational collapse

KW - naked singularities

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U2 - 10.1088/0264-9381/32/14/145004

DO - 10.1088/0264-9381/32/14/145004

M3 - Article

AN - SCOPUS:84935498304

VL - 32

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 14

M1 - 145004

ER -