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Scalar/Dirac perturbations of the Reissner-Nordstr\"om black hole and Painlev\'e transcendents

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arxiv 2109.06929 v2 pith:GQVDUEHI submitted 2021-09-14 gr-qc hep-th

João Paulo Cavalcante , Bruno Carneiro da Cunha This is my paper · ORCID
classification gr-qchep-th
keywords modesperturbationsqnmsreissner-nordstrspin-aboveassociatedbackgrounds
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abstract

We investigate spin-$0$ and spin-$\frac{1}{2}$ perturbations for non-extremal and extremal Reissner-Nordstr\"om backgrounds using the isomonodromic method. We calculate the fundamental quasinormal modes (QNMs) associated with each perturbation as a function of the electromagnetic coupling $qQ$ and ratio $Q/M$. After corroborating the literature values for generic $qQ$ and $Q/M$, we turn to study the near-extremal limit. In parallel with the study of QNMs for the Kerr geometry, we find the existence of "non-damping" modes for $qQ$ above a spin-dependent critical value, and locate the bifurcation point in the $q-Q$ parameter space.

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Cited by 3 Pith papers

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

  1. Ergodic Hysteresis of the Kerr black hole spectrum

    gr-qc 2025-11 conditional novelty 6.0 of 10

    Near-extremal Kerr black holes with massive scalar fields exhibit a cascade of exceptional points that can adiabatically permute arbitrary quasinormal-mode overtones.

  2. Stability of the spacetime of a magnetized compact object

    gr-qc 2024-11 conditional novelty 6.0 of 10

    Scalar perturbations on the exterior of a magnetized Gutsunaev-Manko compact object show quasinormal ringing followed by power-law tails, with stronger magnetization accelerating the ring-down decay.

  3. Exceptional lines in the Kerr-Newman black hole spectrum

    gr-qc 2026-07 accept novelty 5.5 of 10

    Near-extremal Kerr-Newman black holes host exceptional lines of degenerate (ℓ,m)=(1,1) scalar overtones that induce spectral permutations and link to zero-damping/damped mode branching.

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