ABG regular black holes modify the lifetimes of charged Dirac quasibound states relative to RN but keep the modes damped without producing superradiant instability in the explored parameter range.
Charged Superradiant Instability of Spherically Symmetric Regular Black Holes in de Sitter Spacetime: Time- and Frequency-Domain Analysis
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abstract
We investigate the superradiant instability of Ay\'on-Beato-Garc\'ia-de Sitter (ABG-dS) black holes under massless charged scalar perturbations using both time-domain evolutions and frequency-domain computations. We show that the instability occurs only for the spherically symmetric mode with $\ell=0$, whereas asymptotically flat ABG black holes remain stable in the massless limit, which underscores the essential role of the cosmological horizon in providing a confining boundary. We further study the dependence of the growth rate on the cosmological constant $\Lambda$, the scalar charge $q$, and the black hole charge $Q$, finding that it reaches a maximum at intermediate values of $\Lambda$ and $q$ and increases monotonically with $Q$. Compared with Reissner-Nordstr\"om-de Sitter black holes, ABG-dS black holes exhibit distinct instability characteristics due to the modified electrostatic potential induced by nonlinear electrodynamics.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Quasibound states of a charged Dirac field around regular black holes
ABG regular black holes modify the lifetimes of charged Dirac quasibound states relative to RN but keep the modes damped without producing superradiant instability in the explored parameter range.