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Particle Creation in the Marginally Bound, Self Similar Collapse of Inhomogeneous Dust

S. Barve·T. P. Singh·Cenalo Vaz·Louis Witten
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Abstract

We consider the evaporation of the (shell focusing) naked singularity formed during the self-similar collapse of a marginally bound inhomogeneous dust cloud, in the geometric optics approximation. We show that, neglecting the back reaction of the spacetime, the radiation on $\scrip$ tends to infinity as the Cauchy Horizon is approached. Two consequences can be expected from this result: (a) that the back reaction of spacetime will be large and eventually halt the formation of a naked singularity thus preserving the Cosmic Censorship Hypothesis and (b) matter attempting to collapse into a naked singularity will radiate away energy at an intense rate, thereby possibly providing experimental signatures of quantum effects in curved spacetimes.

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S. Barve, T. P. Singh, Cenalo Vaz, Louis Witten. 1998-06-15. Particle Creation in the Marginally Bound, Self Similar Collapse of Inhomogeneous Dust. https://doi.org/10.1016/s0550-3213(98)00446-5

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