Negative Pressure and Naked Singularities in Spherical Gravitational Collapse

Abstract

Assuming the weak energy condition, we study the nature of the non-central shell-focussing singularity which can form in the gravitational collapse of a spherical compact object in classical general relativity. We show that if the radial pressure is positive, the singularity is covered by a horizon. For negative radial pressures, the singularity will be covered if the ratio of pressure to the density is greater than -1/3 and naked if this ratio is $\le -1/3$.

7 pages, LaTeX File

References in corpus (2)

• On the Occurrence of Naked Singularity in Spherically Symmetric Gravitational Collapse
• The final fate of spherical inhomogeneous dust collapse II: Initial data and causal structure of singularity

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