Abstract
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.
| Original language | English |
|---|---|
| Article number | 145004 |
| Journal | Classical and Quantum Gravity |
| Volume | 32 |
| Issue number | 14 |
| DOIs | |
| Publication status | Published - Jul 23 2015 |
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Keywords
- black holes
- gravitational collapse
- naked singularities
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
Cite this
All black holes in Lemaître-Tolman-Bondi inhomogeneous dust collapse. / Joshi, Pankaj S.; Malafarina, Daniele.
In: Classical and Quantum Gravity, Vol. 32, No. 14, 145004, 23.07.2015.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - All black holes in Lemaître-Tolman-Bondi inhomogeneous dust collapse
AU - Joshi, Pankaj S.
AU - Malafarina, Daniele
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
UR - http://www.scopus.com/inward/record.url?scp=84935498304&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84935498304&partnerID=8YFLogxK
U2 - 10.1088/0264-9381/32/14/145004
DO - 10.1088/0264-9381/32/14/145004
M3 - Article
VL - 32
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
SN - 0264-9381
IS - 14
M1 - 145004
ER -