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arxiv 2410.00314 v2 pith:IOHHTSXX submitted 2024-10-01 gr-qc hep-phhep-th

Instability of nonsingular black holes in nonlinear electrodynamics

Antonio De Felice , Shinji Tsujikawa This is my paper
classification gr-qc hep-phhep-th
keywords blackelectrodynamicsholesinstabilitynonlinearnonsingularregularalways
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that nonsingular black holes realized in nonlinear electrodynamics are always prone to Laplacian instability around the center because of a negative squared sound speed in the angular direction. This is the case for both electric and magnetic BHs, where the instability of one of the vector-field perturbations leads to enhancing a dynamical gravitational perturbation in the even-parity sector. Thus, the background regular metric is no longer maintained in a steady state. Our results suggest that the construction of stable, nonsingular black holes with regular centers, if they exist, requires theories beyond nonlinear electrodynamics.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Static regular black holes in Horndeski theories: analytic no-go and nonanalytic obstructions

    gr-qc 2026-07 accept novelty 7.0

    Analytic no-go theorems exclude static regular black holes with time-independent scalars in nondegenerate Horndeski theories; the unique marginal nonanalytic completion is the singular sGB chain.

  2. Gravitational Properties of the Monopole Bag

    hep-ph 2026-04 unverdicted novelty 6.0

    Monopole bags in axionic backgrounds gravitationally collapse into horizonless states or dyonic regular black holes that evade singularities while retaining axionic hair.

  3. Geometrically Regular Black Holes with Hedgehog Scalar Hair

    gr-qc 2026-04 unverdicted novelty 6.0

    A continuous family of asymptotically flat, geometrically regular black holes with hedgehog scalar hair exists in a minimally coupled GR-scalar-three-form theory.

  4. Gravitational Properties of the Monopole Bag

    hep-ph 2026-04 unverdicted novelty 5.0

    Monopole bags in axion models can collapse into horizonless objects or dyonic regular black holes that evade singularities and retain axionic structure through Chern-Simons effects.