Stability properties of black holes in self-gravitating nonlinear electrodynamics

TL;DR

This paper investigates the stability of black holes in nonlinear electrodynamics, deriving conditions for stability and confirming these for certain regular black hole solutions.

Contribution

It provides new stability criteria for black holes in self-gravitating nonlinear electrodynamics and verifies these for specific regular black hole solutions.

Findings

Derived simple stability conditions for black holes in nonlinear electrodynamics.

Confirmed stability conditions hold for several regular black hole solutions.

Established a framework for analyzing stability in these models.

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.