Regular charged black hole construction in 2+1 -dimensions

TL;DR

This paper constructs a regular, charged black hole solution in 2+1 dimensions using nonlinear electrodynamics, eliminating singularities and analyzing its thermodynamics through dimensional reduction.

Contribution

It introduces a novel regular charged black hole model in 2+1 dimensions employing Born-Infeld electrodynamics and spacetime gluing techniques, extending the known BTZ solution.

Findings

Elimination of the inner singularity in the charged BTZ black hole

Development of a regular black hole solution using nonlinear electrodynamics

Thermodynamic properties analyzed via Kaluza-Klein reduction

Abstract

It is well-known that unlike its chargeless version the charged Banados-Teitelboim-Zanelli (BTZ) black hole solution in 2+1- dimensional spacetime is singular. We construct a charged, regular extension of the BTZ black hole solution by employing nonlinear Born-Infeld electrodynamics, supplemented with the Hoffmann term and gluing different spacetimes. The role of the latter term is to divide spacetime in a natural way into two regions by a circle and eliminate the inner singularity. Thermodynamics of such a black hole is investigated by Kaluza-Klein reduction to the 1+1-dimensional dilaton gravity.