Naked singularities in higher dimensional inhomogeneous dust collapse

Abstract

We investigate the occurrence and nature of a naked singularity in the gravitational collapse of an inhomogeneous dust cloud described by a non self-similar higher dimensional Tolman spacetime. The necessary condition for the formation of a naked singularity or a black hole is obtained. The naked singularities are found to be gravitationally strong in the sense of Tipler and provide another example that violates the cosmic censorship conjecture.

10 pages, LaTeX, no figures

References in corpus (3)

• Dimensionally continued Oppenheimer-Snyder gravitational collapse II: solutions in odd dimensions
• Self-Similar Collapse of Scalar Field in Higher Dimensions
• Collapsing Perfect Fluid in Higher Dimensional Spherical Spacetimes

Cited by in corpus (4)

• Naked Singularities in Higher Dimensional Gravitational Collapse
• Extra dimensions' influence on the equilibrium and radial stability of strange quark stars
• Spherically symmetric gravitational collapse of a dust cloud in third order Lovelock Gravity
• Fluid pulsation modes from strange stars in a higher-dimensional space-time