On the Global Visibility of the Singularity in Quasi-Spherical Collapse

Deshingkar, S. S.; Jhingan, Sanjay; Joshi, Pankaj S.

doi:10.1023/a:1018813108516

Cited by 39 publications

(36 citation statements)

References 10 publications

(11 reference statements)

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“…In this case, like the earlier studies on LTB models, the smaller root will be along the apparent horizon direction and a family of geodesics will come out along this direction [16].…”

Section: The F = 0 Casesupporting

confidence: 54%

Gravitational collapse and the cosmological constant

et al. 2001

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We consider here the effects of a non-vanishing cosmological term on the final fate of a spherical inhomogeneous collapsing dust cloud. It is shown that depending on the nature of the initial data from which the collapse evolves, and for a positive value of the cosmological constant, we can have a globally regular evolution where a bounce develops within the cloud. We characterize precisely the initial data causing such a bounce in terms of the initial density and velocity profiles for the collapsing cloud. In the cases otherwise, the result of collapse is either formation of a black hole or a naked singularity resulting as the end state of collapse. We also show here that a positive cosmological term can cover a part of the singularity spectrum which is visible in the corresponding dust collapse models for the same initial data.

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“…In this case, like the earlier studies on LTB models, the smaller root will be along the apparent horizon direction and a family of geodesics will come out along this direction [16].…”

Section: The F = 0 Casesupporting

confidence: 54%

Gravitational collapse and the cosmological constant

et al. 2001

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“…Nevertheless, one can also show that a sufficiently inhomogeneous spherically symmetric dust cloud collapse can end up in a singularity such that null geodesics can escape from the singularity without getting trapped by the trapped surfaces [7,8]. Such singularities are also stable under small perturbation in a certain subset of the entire initial data leading to the collapse [9][10][11]. These may act as a counterexample to the strong cosmic censorship hypothesis.…”

Section: Introductionmentioning

confidence: 97%

Singularity resolution in gravitational collapse

Mosani,

Dey,

Bhattacharya

et al. 2021

Preprint

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We investigate the unhindered gravitational collapse of a homogeneous scalar field with nonzero potential, a two-dimensional analog of the Mexican hat-shaped Higgs field potential. We prove that the density dependence on the scale factor cannot be expressed as an algebraic function in such a scenario. For a certain transcendental expression of the density of such field as a function of scale factor, we then show that the collapse evolves to a singularity at an infinite comoving time, which is equivalent to saying that the singularity is avoided altogether. An ultra high density region (UHDR) of the order of Planck length can, however, be reached in a finite comoving time. The absence of the formation of trapped surfaces makes this UHDR globally visible.

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“…These models have been extensively studied for the validity of the cosmic censorship conjecture [21][22][23][24][25][26][27]. In particular, we know already that, depending on initial conditions defined in terms of initial density and velocity profiles, the central shell-focusing singularity at r = 0 can be either a black hole or a locally or globally naked singularity [28,29]. We may note however, that in all these papers a compact LTB region is glued to the Schwarzschild metric or the FRW outer universe [30,31].…”

Section: Introductionmentioning

confidence: 99%

Asymptotically FRW black holes

Firouzjaee

Mansouri

2010

Gen Relativ Gravit

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Application of concepts like black hole and event horizon in cosmological context are not trivial, as has been shown in the last decade. We introduce special solutions of the LTB family representing collapsing over-dense regions extending to an expanding closed, open, or flat FRW model asymptotically. We study the dynamics of the collapsing region, and its density profile. The question of the strength of the central singularity and its nakedness, as well as the existence of an apparent horizon and an event horizon is dealt with in detail. Differences to the Schwarzschild black hole are addressed.Comment: 9 pages, 6 figure

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On the Global Visibility of the Singularity in Quasi-Spherical Collapse

Cited by 39 publications

References 10 publications

Gravitational collapse and the cosmological constant

Gravitational collapse and the cosmological constant

Singularity resolution in gravitational collapse

Asymptotically FRW black holes

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