### 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

*Classical and Quantum Gravity*,

*32*(14), [145004]. https://doi.org/10.1088/0264-9381/32/14/145004

**All black holes in Lemaître-Tolman-Bondi inhomogeneous dust collapse.** / Joshi, Pankaj S.; Malafarina, Daniele.

Research output: Contribution to journal › Article

*Classical and Quantum Gravity*, vol. 32, no. 14, 145004. https://doi.org/10.1088/0264-9381/32/14/145004

}

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 -