Non-marginally bound inhomogeneous dust collapse in higher dimensional space-time

Abstract

We investigate the occurrence and nature of a naked singularity in the gravitational collapse of an inhomogeneous dust cloud described by a self-similar higher dimensional Tolman-Bondi space-time. Bound, marginally bound and unbound space-times are analyzed. The degree of inhomogeneity of the collapsing matter necessary to form a naked singularity is given.

arXiv comment5 pages, RevTeX 4, no figures, 2 tables, Accepted in IJMPD

References in corpus (4)

• Naked Singularities in Spherically Symmetric Inhomogeneous Tolman-Bondi Dust Cloud Collapse
• Self-Similarity in General Relativity \endtitle
• On naked singularities in higher dimensional Vaidya space-times
• Higher dimensional inhomogeneous dust collapse and cosmic censorship

Cited by in corpus (11)

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• Spherical gravitational collapse in N-dimensions
• Inhomogeneous Dust Collapse in 5D Einstein-Gauss-Bonnet Gravity
• Bardeen-like regular black holes in $5D$ Einstein-Gauss-Bonnet gravity
• Spherical Dust Collapse in Higher Dimensions
• Gravitational Collapse in Higher Dimension
• Quasispherical gravitational collapse in 5D Einstein-Gauss-Bonnet gravity
• Higher dimensional dust collapse with a cosmological constant
• Generating Static Black Holes in Higher Dimensional Space-Times
• Gravitational Perfect Fluid Collapse in Gauss-Bonnet Gravity
• Spherical gravitational collapse in 5D Einstein-Gauss-Bonnet gravity