Nonsingular Black Holes From Charged Dust Collapse: A Concrete Mechanism to Evade Interior Singularities in General Relativity

TL;DR

This paper presents a model of charged dust collapse that avoids singularities, matching known black hole geometries and extending entropy concepts for extremal black holes.

Contribution

It introduces a nonsingular interior solution for charged collapse interacting with dark energy, linking charge to the interaction parameter and extending black hole entropy.

Findings

Nonsingular interior solutions match Reissner-Nordström-de Sitter exterior geometry.

Interaction parameter is proportional to the black hole's charge.

Extended entropy model for quasi-extremal black holes includes an additive constant.

Abstract

In this essay we examine the gravitational collapse of a nonrelativistic charged perfect fluid interacting with a dark energy component. Given a simple factor for the energy transfer, we obtain a nonsingular interior solution which naturally matches the Reissner-Nordstr\"om-de Sitter exterior geometry. We also show that the interacting parameter is proportional to the overall charge of the final black hole thus formed. For the case of quasi-extremal configurations, we propose a statistical model for the entropy of the collapsed matter. This entropy extends Bekenstein's geometrical entropy by an additive constant proportional to the area of the extremal black hole.