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| ≤ 2 sc m ≈ 0.6 m, having the metric, the curvature invariants, and the electric field regular everywhere.

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