Cosmic Censorship in Higher dimension II

Abstract

Generalizing earlier results on dust collapse in higher dimensions, we show here that cosmic censorship can be restored in gravitational collapse with tangential pressure present if we take the spacetime dimension to be $N\ge 6$. This is under conditions to be motivated physically, such as the smoothness of initial data from which the collapse develops. The models considered here incorporating a non-zero tangential pressure include the Einstein cluster spacetime.

7 pages,1 figure,revtex4

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Cited by in corpus (10)

• Recent developments in gravitational collapse and spacetime singularities
• Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity
• Spherical gravitational collapse in N-dimensions
• Conformal diagrams for the gravitational collapse of a spherical dust cloud
• Cosmic censorship in Lovelock theory
• Dimensional dependence of naked singularity formation in spherical gravitational collapse
• Tipler Naked Singularities in $N$ Dimensions
• Notes on Cosmic Censorship Conjecture revisited: Covariantly
• Cauchy horizon stability in a collapsing spherical dust cloud. II: Energy bounds for test fields and odd-parity gravitational perturbations
• Violation of cosmic censorship in the gravitational collapse of a dust cloud in five dimension