Genericity and stability of naked singularities arising in an inhomogeneous dust collapse

In this paper, we consider an inhomogeneous dust collapse, and extend earlier works of Jhingan, Joshi, and Singh to the case where initial density and velocity distributions are finitely differentiable functions of co-moving coordinate r. We study the occurrence of naked singularities under various...

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Bibliographic Details
Published in:Pramāṇa 1999-08, Vol.53 (2), p.253-269
Main Authors: Ghate, S H, Saraykar, R V, Patil, K D
Format: Article
Language:English
Subjects:
Collapse
Density
Dust
Naked singularities
Perturbation
Stability
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Summary:In this paper, we consider an inhomogeneous dust collapse, and extend earlier works of Jhingan, Joshi, and Singh to the case where initial density and velocity distributions are finitely differentiable functions of co-moving coordinate r. We study the occurrence of naked singularities under various conditions on the derivatives of initial density and velocity distributions in marginally as well as non-marginally bound case. We then study their stability and genericity with respect to perturbations in the initial data in an appropriate topological sense.
ISSN:0304-4289
0973-7111
DOI:10.1007/s12043-999-0127-3