Spherical Dust Collapse in Higher Dimensions

Abstract

We consider here the question if it is possible to recover cosmic censorship when a transition is made to higher dimensional spacetimes, by studying the spherically symmetric dust collapse in an arbitrary higher spacetime dimension. It is pointed out that if only black holes are to result as end state of a continual gravitational collapse, several conditions must be imposed on the collapsing configuration, some of which may appear to be restrictive, and we need to study carefully if these can be suitably motivated physically in a realistic collapse scenario. It would appear that in a generic higher dimensional dust collapse, both black holes and naked singularities would develop as end states as indicated by the results here. The mathematical approach developed here generalizes and unifies the earlier available results on higher dimensional dust collapse as we point out. Further, the dependence of black hole or naked singularity end states as collapse outcomes, on the nature of the initial data from which the collapse develops, is brought out explicitly and in a transparent manner as we show here. Our method also allows us to consider here in some detail the genericity and stability aspects related to the occurrence of naked singularities in gravitational collapse.

Revtex4, Title changed, To appear in Physical Review D

References in corpus (8)

• Why do naked singularities form in gravitational collapse?
• Physical Processes in Naked Singularity Formation
• Naked Singularities in Higher Dimensional Gravitational Collapse
• New solutions of Einstein equations in spherical symmetry: the Cosmic Censor to the court
• Higher dimensional inhomogeneous dust collapse and cosmic censorship
• Timelike and null focusing singularities in spherical symmetry: a solution to the cosmological horizon problem and a challenge to the cosmic censorship hypothesis
• What role pressures play to determine the final end-state of gravitational collapse?
• Non-marginally bound inhomogeneous dust collapse in higher dimensional space-time

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• Gravitational Collapse of Inhomogeneous Dust in (2+1) Dimensions
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• Classical and Quantum Gravitational Collapse in d-dim AdS Spacetime I. Classical Solutions
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• Collapsing dust thin shells in Einstein-Gauss-Bonnet gravity
• Self-gravitating stellar collapse: explicit geodesics and path integration
• Rebounce and Black hole formation in a Gravitational Collapse Model with Vanishing Radial Pressure
• Notes on Cosmic Censorship Conjecture revisited: Covariantly