Strong curvature naked singularities in generalized Vaidya space-times

K D PATIL*, R V SARAYKAR and S H GHATE

Department of Mathematics, Nagpur University Campus, Nagpur 440 010, India
*College of Engineering, Sewagram, Wardha, India

Abstract:

In this paper, following recent results on generalized Vaidya solutions by Wang, we prove that under certain conditions on generalized mass function, strong curvature naked singularities exist in radiation collapse in monopole-Vaidya space-times and also in charged-Vaidya space-times. We thus unify and generalize results of Dwivedi-Joshi and Lake-Zannias. The general case also covers de Sitter-Vaidya space-time recently treated by Wagh-Maharaj with a view to study existence of naked singularities.

keywords : Radiation collapse; naked singularity; strong curvature.

pacs : 04.20; 04.25; 04.40; 04.70; 95.30

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