Stability properties of black holes in self-gravitating nonlinear electrodynamics
Claudia MorenoDepartment of Physics and Astronomy, The University of Texas at Brownsville, 80 Fort Brown, Brownsville, Texas 78520-4993Olivier SarbachDepartment of Physics and Astronomy, Louisiana State University, 202 Nicholson Hall, Baton Rouge, Louisiana 70803-4001
2003en
ABI
Annotatsiya
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 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 Ay\'on-Beato and Garc\'{\i}a.
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