Singularities in General Relativity coupled to nonlinear electrodynamics

Details Singularities in General Relativity coupled to nonlinear electrodynamics Singularities in General Relativity coupled to nonlinear electrodynamics

2000-03-13

arxiv.org/abs/gr-qc/0003052v2

Class.Quant.Grav. 17 (2000) 3821-3832

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 6 figures. One reference added. Expression of the effective potential corrected, without change in the conclusions

Scientific paper

10.1088/0264-9381/17/18/316

We study here some consequences of the nonlinearities of the electromagnetic field acting as a source of Einstein's equations on the propagation of photons. We restrict to the particular case of a ``regular black hole'', and show that there exist singularities in the effective geometry. These singularities may be hidden behind a horizon or naked, according to the value of a parameter. Some unusual properties of this solution are also analyzed.

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