Effects of Pair Creation on Charged Gravitational Collapse

Abstract

We investigate the effects of pair creation on the internal geometry of a black hole, which forms during the gravitational collapse of a charged massless scalar field. Classically, strong central Schwarzschild-like singularity forms, and a null, weak, mass-inflation singularity arises along the Cauchy horizon, in such a collapse. We consider here the discharge, due to pair creation, below the event horizon and its influence on the {\it dynamical formation} of the Cauchy horizon. Within the framework of a simple model we are able to trace numerically the collapse. We find that a part of the Cauchy horizon is replaced by the strong space-like central singularity. This fraction depends on the value of the critical electric field, $E_{\mathrm{cr}}$, for the pair creation.

LaTex, 27 pages, including 14 figures. Some points are clarified, typos corrected. Version accepted for publication in Phys.Rev.D

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• Structure of the black hole's Cauchy horizon singularity
• Mass-Inflation in Dynamical Gravitational Collapse of a Charged Scalar-Field
• The Inner Structure of Black Holes

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