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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|2s₂m0. 6m, having the metric, the curvature invariants, and the electric field regular everywhere.
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Eloy Ayón–Beato
Center for Research and Advanced Studies of the National Polytechnic Institute
Alberto Garcı́a
Universidad de Santiago de Chile
Physical Review Letters
CERN Bulletin
Instituto Politécnico Nacional
Center for Research and Advanced Studies of the National Polytechnic Institute
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Ayón–Beato et al. (Mon,) studied this question.
synapsesocial.com/papers/69d8036961e2ce1627d1889f — DOI: https://doi.org/10.1103/physrevlett.80.5056