Null Geodesic Expansion in Spherical Gravitational Collapse

Abstract

We derive an expression for the expansion of outgoing null geodesics in spherical dust collapse and compute the limiting value of the expansion in the approach to singularity formation. An analogous expression is derived for the spherical collapse of a general form of matter. We argue on the basis of these results that the covered as well as the naked singularity solutions arising in spherical dust collapse are stable under small changes in the equation of state.

10 pages, Latex File, No figures

References in corpus (3)

• Naked Singularities in Spherically Symmetric Inhomogeneous Tolman-Bondi Dust Cloud Collapse
• The Final Fate of Spherical Inhomogeneous Dust Collapse
• On the Occurrence of Naked Singularity in Spherically Symmetric Gravitational Collapse

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