# Regular black hole in general relativity coupled to nonlinear electrodynamics

@article{AyonBeato1998RegularBH,
title={Regular black hole in general relativity coupled to nonlinear electrodynamics},
author={Eloy Ay'on-Beato and Alberto A. Garc'ia},
journal={Physical Review Letters},
year={1998},
volume={80},
pages={5056-5059}
}
• Published 8 June 1998
• Physics
• Physical Review Letters
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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