# 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.

## 543 Citations

Construction of Regular Black Holes in General Relativity

- Physics, Mathematics
- 2016

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

- Physics
- 2003

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

- PhysicsGravitation and Cosmology
- 2019

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…

Four-parametric regular black hole solution

- Physics
- 2004

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

- Physics
- 2008

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

- Physics
- 2018

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

- Physics
- 2017

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

- Physics
- 2017

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…

## References

SHOWING 1-6 OF 6 REFERENCES

The Large Scale Structure of Space-Time

- Physics
- 1973

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

- Geology
- 1983

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

- Education
- 1996

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