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}
}
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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