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. 
View PDF on arXiv
543 Citations
Highly Influential Citations
16
Background Citations
90
Methods Citations
30
Results Citations
1

Figures from this paper

543 Citations

Citation Type

Citation Type

New regular black hole solution from nonlinear electrodynamics
Construction of Regular Black Holes in General Relativity
We present a general procedure for constructing exact black hole solutions with electric or magnetic charges in general relativity coupled to a nonlinear electrodynamics. We obtain a variety of…
Stability properties of black holes in self-gravitating nonlinear electrodynamics
We analyze the dynamical stability of black hole solutions in self-gravitating nonlinear electrodynamics with respect to arbitrary linear fluctuations of the metric and electromagnetic field. In…
Dyonic Black Holes with Nonlinear Logarithmic Electrodynamics
A new dyonic solution for black holes with spherically symmetric configurations in general relativity is obtained. We study black holes possessing electric and magnetic charges, and the source of the…
Magnetically charged regular black hole in a model of nonlinear electrodynamics
Four-parametric regular black hole solution
We present a regular class of exact black hole solutions of the Einstein equations coupled with a nonlinear electrodynamics source. For weak fields the nonlinear electrodynamics becomes the Maxwell…
The Energy of Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
According to the Einstein, Weinberg, and Møller energy-momentum complexes, we evaluate the energy distribution of the singularity-free solution of the Einstein field equations coupled to a suitable…
Magnetically charged black hole in framework of nonlinear electrodynamics model
A model of nonlinear electrodynamics is proposed and investigated in general relativity. We consider the magnetic black hole and find a regular solution which gives corrections into the…
Note on the character of the generic rotating charged regularblack holes in general relativity coupled to nonlinearelectrodynamics
We demonstrate that the generic charged rotating regular black hole solutions of general relativity coupled to non-linear electrodynamics, obtained by using the alternate Newman-Janis algorithm,…
Nonlinear Electrodynamics and Magnetic Black Holes
A model of nonlinear electrodynamics with two parameters, coupled with general relativity, is investigated. We study the magnetized black hole and obtain solutions. The asymptotic of the metric and…
...
1
2
3
4
5
...

References

SHOWING 1-6 OF 6 REFERENCES
The Large Scale Structure of Space-Time
TLDR
The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions.
The Mathematical Theory of Black Holes
In a course of lectures on the ‘underlying mathematical structures of classical gravitation theory’ given in 1978, Brandon Carter began with the statement ‘If I had been asked five years ago to…
Gravitational Collapse and Cosmic Censorship
This article gives an elementary overview of the end-state of gravitational collapse according to classical general relativity. The focus of discussion is the formation of black holes and naked…
The Large Scale Structure of Space–Time (Cambridge Univ
  • 1973
Asymptotic Behavior of Scalar Fields Coupled to Gravity
  • Graduate Dissertation, Faculty of Physics, Havana Univ
  • 1993
Asymptotic Behavior of Scalar Fields Coupled to Gravity, Graduate Dissertation, Faculty of Physics
  • 1993