Singularities in General Relativity coupled to nonlinear electrodynamics
arXiv:gr-qc/0003052 · doi:10.1088/0264-9381/17/18/316
Abstract
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.
7 pages, 6 figures. One reference added. Expression of the effective potential corrected, without change in the conclusions
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