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Updated: May 22, 2025

Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Instability of Nonsingular Black Holes in Nonlinear Electrodynamics
Antonio De Felice1, Shinji Tsujikawa2
1Kyoto University, Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, 606-8502, Kyoto, Japan.
Abstract:
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 Thus, the background regular metric is no longer maintained in a steady state.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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