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arXiv · 1703.05286

Regularization of the Reissner-Nordstr\"om black hole

S. Habib Mazharimousavi·M. Halilsoy
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Abstract

An inner de Sitter region is glued smoothly and consistently with an outer Reissner-Nordstr\"{o}m (RN) spacetime on a spherical thin-shell. Mass and charge of the outer RN spacetime are defined by the de Sitter and shell parameters. Radius of the shell plays the role of a cut-off which by virtue of regular de Sitter inside removes the singularity at $r=0.$ The topology of inner de Sitter with the radius of the thin-shell becomes compact. For stability the perturbed shell is shown to satisfy a modified polytropic equation of state which has vanishing mass and pressure on the unperturbed shell as dictated by the junction conditions.

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S. Habib Mazharimousavi, M. Halilsoy. 2017-03-08. Regularization of the Reissner-Nordstr\"om black hole. https://doi.org/10.1140/epjp/i2018-12194-7

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