### Abstract

Here we investigate the genericity and stability aspects for naked singularities and black holes that arise as the final states for a complete gravitational collapse of a spherical massive matter cloud. The form of the matter considered is a general Type I matter field, which includes most of the physically reasonable matter fields such as dust, perfect fluids and such other physically interesting forms of matter widely used in gravitation theory. Here, we first study in some detail the effects of small pressure perturbations in an otherwise pressure-free collapse scenario, and examine how a collapse evolution that was going to the black hole endstate would be modified and go to a naked singularity, once small pressures are introduced in the initial data. This allows us to understand the distribution of black holes and naked singularities in the initial data space. Collapse is examined in terms of the evolutions allowed by Einstein equations, under suitable physical conditions and as evolving from a regular initial data. We then show that both black holes and naked singularities are generic outcomes of a complete collapse, when genericity is defined in a suitable sense in an appropriate space.

Original language | English |
---|---|

Article number | 1250066 |

Journal | International Journal of Modern Physics D |

Volume | 21 |

Issue number | 8 |

DOIs | |

Publication status | Published - Aug 1 2012 |

Externally published | Yes |

### Fingerprint

### Keywords

- black holes
- Gravitational collapse
- naked singularity

### ASJC Scopus subject areas

- Astronomy and Astrophysics
- Space and Planetary Science
- Mathematical Physics

### Cite this

*International Journal of Modern Physics D*,

*21*(8), [1250066]. https://doi.org/10.1142/S0218271812500666

**Genericity aspects in gravitational collapse to black holes and naked singularities.** / Joshi, Pankaj S.; Malafarina, Daniele; Saraykar, Ravindra V.

Research output: Contribution to journal › Article

*International Journal of Modern Physics D*, vol. 21, no. 8, 1250066. https://doi.org/10.1142/S0218271812500666

}

TY - JOUR

T1 - Genericity aspects in gravitational collapse to black holes and naked singularities

AU - Joshi, Pankaj S.

AU - Malafarina, Daniele

AU - Saraykar, Ravindra V.

PY - 2012/8/1

Y1 - 2012/8/1

N2 - Here we investigate the genericity and stability aspects for naked singularities and black holes that arise as the final states for a complete gravitational collapse of a spherical massive matter cloud. The form of the matter considered is a general Type I matter field, which includes most of the physically reasonable matter fields such as dust, perfect fluids and such other physically interesting forms of matter widely used in gravitation theory. Here, we first study in some detail the effects of small pressure perturbations in an otherwise pressure-free collapse scenario, and examine how a collapse evolution that was going to the black hole endstate would be modified and go to a naked singularity, once small pressures are introduced in the initial data. This allows us to understand the distribution of black holes and naked singularities in the initial data space. Collapse is examined in terms of the evolutions allowed by Einstein equations, under suitable physical conditions and as evolving from a regular initial data. We then show that both black holes and naked singularities are generic outcomes of a complete collapse, when genericity is defined in a suitable sense in an appropriate space.

AB - Here we investigate the genericity and stability aspects for naked singularities and black holes that arise as the final states for a complete gravitational collapse of a spherical massive matter cloud. The form of the matter considered is a general Type I matter field, which includes most of the physically reasonable matter fields such as dust, perfect fluids and such other physically interesting forms of matter widely used in gravitation theory. Here, we first study in some detail the effects of small pressure perturbations in an otherwise pressure-free collapse scenario, and examine how a collapse evolution that was going to the black hole endstate would be modified and go to a naked singularity, once small pressures are introduced in the initial data. This allows us to understand the distribution of black holes and naked singularities in the initial data space. Collapse is examined in terms of the evolutions allowed by Einstein equations, under suitable physical conditions and as evolving from a regular initial data. We then show that both black holes and naked singularities are generic outcomes of a complete collapse, when genericity is defined in a suitable sense in an appropriate space.

KW - black holes

KW - Gravitational collapse

KW - naked singularity

UR - http://www.scopus.com/inward/record.url?scp=84949324415&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84949324415&partnerID=8YFLogxK

U2 - 10.1142/S0218271812500666

DO - 10.1142/S0218271812500666

M3 - Article

AN - SCOPUS:84949324415

VL - 21

JO - International Journal of Modern Physics D

JF - International Journal of Modern Physics D

SN - 0218-2718

IS - 8

M1 - 1250066

ER -