Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics

TL;DR

This paper presents the first exact regular black hole solution in General Relativity coupled with nonlinear electrodynamics, featuring a charged black hole with regular metric and fields everywhere, satisfying energy conditions.

Contribution

It introduces the first known regular black hole solution in GR with nonlinear electrodynamics, ensuring regularity and physical energy conditions.

Findings

The solution describes a charged black hole with |q| ≤ 0.6 m.

The metric, curvature invariants, and electric field are regular everywhere.

The nonlinear electrodynamics reduces to Maxwell in weak fields.

Abstract

The first regular exact black hole solution in General Relativity is presented. The source is a nonlinear electrodynamic field satisfying the weak energy condition, which in the limit of weak field becomes the Maxwell field. The solution corresponds to a charged black hole with |q| \leq 2 s_c m \approx 0.6 m, having the metric, the curvature invariants, and the electric field regular everywhere.