Non-Singular Charged Black Hole Solution for Non-Linear Source

TL;DR

This paper introduces a non-singular charged black hole solution in General Relativity sourced by a non-linear electromagnetic field, ensuring finite metric, curvature, and electric field everywhere, with implications for black hole singularity resolution.

Contribution

It presents a novel exact black hole solution with a non-linear electromagnetic source that avoids singularities, extending classical solutions.

Findings

Black hole metric and invariants are finite everywhere.

The solution describes a charged black hole with |q| d7 2s_c m d7 0.6 m.

Electric field remains bounded throughout spacetime.

Abstract

A non-singular exact black hole solution in General Relativity is presented. The source is a non-linear electromagnetic field, which reduces to the Maxwell theory for weak field. The solution corresponds to a charged black hole with |q| \leq 2s_c m \approx 0.6 m, having metric, curvature invariants, and electric field bounded everywhere.