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Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics

Eloy Ayón-Beato·Alberto García
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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.

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Eloy Ayón-Beato, Alberto García. 1999-11-11. Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics. https://doi.org/10.1103/physrevlett.80.5056

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