Gravitational collapse and the cosmological constant

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

doi:10.1103/physrevd.63.124005

Cited by 50 publications

(58 citation statements)

References 20 publications

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“…In this paper, We have shown that the 4D spherically symmetric solution describing inhomogeneous dust collapse with a cosmological term go over to (n + 2)-dimensional spherically symmetric solution and essentially retaining its physical behavior and when n = 2, one recovers the 4D Tolman-Bondi-de Sitter solutions [6,19,21]. Thus we have obtained Tolman-Bondi-de Sitter metric in arbitrary dimensions and the junction condition for static and non-static space-times are deduced.…”

Section: Discussionmentioning

confidence: 99%

“…Moreover, according to the strong version of the CCC, such singularities are * Electronic address: sgghosh@iucaa.ernet.in not even locally naked, i.e., no non-spacelike curve can emerge from such singularities (see [18], for reviews on the CCC). The study in the inhomogeneous dust collapse with a positive Λ, from the viewpoint of CCC, was examined in [6,19,20,21]. Deshingkar et al [19] showed that the presence of a Λ can cover a part of the singularity spectrum which is visible in the corresponding dust collapse models for the same initial data.…”

Section: Introductionmentioning

confidence: 99%

“…The study in the inhomogeneous dust collapse with a positive Λ, from the viewpoint of CCC, was examined in [6,19,20,21]. Deshingkar et al [19] showed that the presence of a Λ can cover a part of the singularity spectrum which is visible in the corresponding dust collapse models for the same initial data. Whereas Wagh and Maharaj [22] showed that in spherically symmetric radiation collapse (Vaidya collapse), the effect of adding a positive Λ does not radically alter the description.…”

Section: Introductionmentioning

confidence: 99%

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Higher dimensional dust collapse with a cosmological constant

Ghosh

Deshkar

2007

Astrophys Space Sci

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The general solution of the Einstein equation for higher dimensional (HD) spherically symmetric collapse of inhomogeneous dust in presence of a cosmological term, i.e., exact interior solutions of the Einstein field equations is presented for the HD Tolman-Bondi metrics imbedded in a de Sitter background. The solution is then matched to exterior HD Scwarschild-de Sitter. A brief discussion on the causal structure singularities and horizons is provided. It turns out that the collapse proceed in the same way as in the Minkowski background, i.e., the strong curvature naked singularities form and that the higher dimensions seem to favor black holes rather than naked singularities.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Higher dimensional dust collapse with a cosmological constant

Ghosh

Deshkar

2007

Astrophys Space Sci

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“…This is what happens in the gravitational collapse of ordinary dust matter when Λ is set to zero [35]. However, if Λ = 0 the evolution curve of a collapsing dust cloud has special rebouncing points at R > 0 for which the dust potential is zero [36]. These points may exist both when a singularity forms at R s = 0 and when it does not.…”

Section: Physical Singularities and Regular Rebouncesmentioning

confidence: 99%

Dark radiation dynamics on the brane

Neves

Vaz

2002

Phys. Rev. D

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We investigate the dynamics of a spherically symmetric vaccum on a Randall and Sundrum 3-brane world. Under certain natural conditions, the effective Einstein equations on the brane form a closed system for spherically symmetric dark radiation. We determine exact dynamical and inhomogeneous solutions, which are shown to depend on the brane cosmological constant, on the dark radiation tidal charge and on its initial energy configuration. We identify the conditions defining these solutions as singular or as globally regular. Finally, we discuss the confinement of gravity to the vicinity of the brane and show that a phase transition to a regime where gravity is not bound to the brane may occur at short distances during the collapse of positive dark energy density on a realistic de Sitter brane.

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“…In general it is not possible to determine the exact solutions of Eqs. (52) and (54). The only exceptions are η = −1 and η = 1/2.…”

Section: Exact Dynamical Solutionsmentioning

confidence: 98%

Brane world dynamics and conformal bulk fields

Neves

Vaz

2003

Phys. Rev. D

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In the Randall-Sundrum scenario we investigate the dynamics of a spherically symmetric 3-brane world when matter fields are present in the bulk. To analyze the 5-dimensional Einstein equations we employ a global conformal transformation whose factor characterizes the Z 2 symmetric warp. We find a new set of exact dynamical collapse solutions which localize gravity in the vicinity of the brane for a stress-energy tensor of conformal weight -4 and a warp factor that depends only on the coordinate of the fifth dimension. Geometries which describe the dynamics of inhomogeneous dust and generalized dark radiation on the brane are shown to belong to this set. The conditions for singular or globally regular behavior and the static marginally bound limits are discussed for these examples. Also explicitly demonstrated is complete consistency with the effective point of view of a 4-dimensional observer who is confined to the brane and makes the same assumptions about the bulk degrees of freedom.

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Gravitational collapse and the cosmological constant

Cited by 50 publications

References 20 publications

Higher dimensional dust collapse with a cosmological constant

Higher dimensional dust collapse with a cosmological constant

Dark radiation dynamics on the brane

Brane world dynamics and conformal bulk fields

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