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Stability properties of black holes in self-gravitating nonlinear electrodynamics

Claudia Moreno·Olivier Sarbach
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Abstract

We analyze the dynamical stability of black hole solutions in self-gravitating nonlinear electrodynamics with respect to arbitrary linear fluctuations of the metric and the electromagnetic field. In particular, we derive simple conditions on the electromagnetic Lagrangian which imply linear stability in the domain of outer communication. We show that these conditions hold for several of the regular black hole solutions found by Ayon-Beato and Garcia.

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Claudia Moreno, Olivier Sarbach. 2002-08-29. Stability properties of black holes in self-gravitating nonlinear electrodynamics. https://doi.org/10.1103/physrevd.67.024028

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