Regular black holes: Guilfoyle's electrically charged solutions with a perfect fluid phantom core

TL;DR

This paper presents new regular black hole solutions within general relativity, featuring a charged phantom fluid core and a smooth boundary with the exterior Reissner-Nordström spacetime, expanding the understanding of non-singular charged black holes.

Contribution

It introduces a class of regular charged black hole solutions with a phantom fluid core and analyzes their physical and geometrical properties, extending previous models of non-singular black holes.

Findings

Existence of regular charged black holes with phantom fluid cores.

Smooth boundary surfaces between interior and exterior regions.

Characterization of physical and geometrical properties of these solutions.

Abstract

Regular black hole solutions are found among the Guilfoyle exact solutions. These are spherically symmetric solutions of general relativity coupled to Maxwell's electromagnetism and charged matter where the metric potentials and electromagnetic fields are related in some particularly simple form. We show that, for certain ranges of the parameters, there are objects which correspond to regular charged black holes, whose interior region is filled by an electrically charged phantom-like fluid, or, in the limiting case, a de Sitter false vacuum fluid, and whose exterior region is Reissner-Nordstr\"om. The boundary between both regions is a smooth boundary surface, except in the limiting case where the boundary is made of a massless electrically charged spherically symmetric coat. The main physical and geometrical properties of such charged regular solutions are analyzed.