English

Regularization of the Reissner-Nordstr\"om black hole

General Physics 2018-10-03 v2

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.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.

Keywords

Cite

@article{arxiv.1703.05286,
  title  = {Regularization of the Reissner-Nordstr\"om black hole},
  author = {S. Habib Mazharimousavi and M. Halilsoy},
  journal= {arXiv preprint arXiv:1703.05286},
  year   = {2018}
}

Comments

5 pages, 2 figures, final version published in EPJP