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Stability properties of black holes in self-gravitating nonlinear electrodynamics

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arxiv gr-qc/0208090 v1 pith:R3W22UKN submitted 2002-08-29 gr-qc

classification gr-qc
keywords blackstabilityconditionselectrodynamicselectromagneticholelinearnonlinear
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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 118 citations worldwide. Full citation record

  1. Probing nonlinear electrodynamics-sourced black holes via light and orbital mechanics

    gr-qc 2026-08 conditional novelty 6.0 of 10

    For ModMax black holes, Shapiro time delay and gravitational redshift are identical for both photon polarizations, while Sagnac and kinematic shifts distinguish them; S2 precession bounds e^-gamma (Q/2M)^2 <= 0.135.

  2. Regular Black Holes from Anisotropic Source with Hydrodynamic Equation of State

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Regular black hole metrics are constructed from anisotropic fluids with P=P(ρ) equations of state, yielding known and new solutions while revealing sound-speed sign changes and a universal hierarchy in energy-conditio...

  3. Field Sources for Dark Matter Black Holes

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    Dark matter halo profiles admit effective nonlinear electrodynamics completions that source regular black holes exhibiting de Sitter cores for finite central density and Schwarzschild asymptotics.

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