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Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics

Eloy Ayón–Beato, ALBERTO A. GARCíA

Physical Review Letters, 1998

1,277 citations

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.

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