Nonlinear electrodynamics and black holes

TL;DR

This paper introduces a new nonlinear electromagnetic model coupled with gravity, resulting in black hole solutions that are free of singularities and resemble Reissner-Nordström black holes asymptotically.

Contribution

The paper presents a novel nonlinear electromagnetic model coupled with gravity, producing singularity-free black hole solutions with Reissner-Nordström asymptotics.

Findings

Black hole solutions with finite electric field at the origin

Absence of singularities in the solutions

Asymptotic Reissner-Nordström behavior

Abstract

We investigate a new model of nonlinear electromagnetic field coupled with the gravitation field. The black hole solution is obtained possessing the asymptotic Reissner-Nordstr\"om solution. The electric field has the finite value at the origin and there are not singularities.