Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics

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 $|q|\ensuremath{\le}{2s}_{c}m\ensuremath{\approx}0.6m$, having the metric, the curvature invariants, and the electric field regular everywhere.