Transforming singular black holes into regular black holes sourced by nonlinear electrodynamics

TL;DR

This paper introduces a method to convert singular black hole solutions into regular ones within General Relativity coupled with nonlinear electrodynamics, ensuring the resulting spacetime is free of singularities.

Contribution

The authors develop a novel procedure to generate regular black hole solutions from existing singular solutions using nonlinear electrodynamics.

Findings

Regular black holes are obtained from singular solutions.

The method applies to non-vacuum and non-electro-vacuum solutions.

The resulting spacetimes are free of singularities.

Abstract

We present a procedure that transforms a singular, asymptotically flat, static and spherically symmetric black hole into a regular black hole spacetime. The regular black hole is a solution of General Relativity theory coupled to nonlinear electrodynamics (NLED), even if the original metric is not a vacuum, or electro-vacuum, solution of General Relativity (GR).