New regular black hole solution from nonlinear electrodynamics

Eloy Ayon-Beato, Alberto Garcıa

Abstract

Using a nonlinear electrodynamics coupled to General Relativity a new regular exact black hole solution is found. The nonlinear theory reduces to the Maxwell one in the weak limit, and the solution corresponds to a charged black hole for |q| \leq 2s_c m \approx 1.05 m, with metric, curvature invariants, and electric field regular everywhere.

DOI:  https://doi.org/10.1016/S0370-2693%2899%2901038-2