Dynamical Transition from a Naked Singularity to a Black Hole

Abstract

We show that a Reissner-Nordström (RN) black hole can be formed by dropping a charged thin dust shell onto a RN naked singularity. This is in contrast to the fact that a RN naked singularity is prohibited from forming by dropping a charged thin dust shell onto a RN black hole. This implies the strong tendency of the RN singularity to be covered by a horizon in favour of cosmic censorship. We show that an extreme RN black hole can also be formed from a RN naked singularity by the same process in a finite advanced time. We also discuss the evolution of the charged thin dust shells and the causal structure of the resultant spacetimes.

10 pages, 13 figures, accepted for publication in International Journal of Modern Physics A

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Cited by in corpus (1)

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