Regularization of the Reissner-Nordström black hole

Abstract

An inner de Sitter region is glued smoothly and consistently with an outer Reissner-Nordström (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.

5 pages, 2 figures, final version published in EPJP

References in corpus (7)

• Cool horizons for entangled black holes
• Traversable wormholes: Some simple examples
• Notes on non-singular models of black holes
• Regular black holes: Electrically charged solutions, Reissner-Nordström outside a de Sitter core
• Study of polytropes with Generalized polytropic Equation of State
• A new type of nonsingular black-hole solution in general relativity
• Black-hole solution without curvature singularity and closed timelike curves

Cited by in corpus (2)

• Stability of regular black holes and other compact objects with a charged de Sitter core and a surface matter layer
• Note on an elementary particle model with Bertotti-Robinson core