Naked singularities in self-similar spherical gravitational collapse

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cosmology, Gravitational Collapse, Astrophysics, Matter (Physics), Singularity (Mathematics)

Scientific paper

General-relativistic solutions of self-similar collapse of an adiabatic perfect fluid are presented. It is shown that if the equation of state is soft enough (Gamma-1 of much less than 1), 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.

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