Naked singularities in self-similar spherical gravitational collapse

Amos Ori*, Tsvi Piran

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

162 Scopus citations

Abstract

We present general-relativistic solutions of self-similar spherical collapse of an adiabatic perfect fluid. We show that if the equation of state is soft enough (-11), a naked singularity forms. The singularity resembles the shell-focusing naked singularities that arise in dust collapse. This solution increases significantly the range of matter fields that should be ruled out in order that the cosmic-censorship hypothesis will hold.

Original languageEnglish
Pages (from-to)2137-2140
Number of pages4
JournalPhysical Review Letters
Volume59
Issue number19
DOIs
StatePublished - 1987

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