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Scalar/Dirac perturbations of the Reissner-Nordström black hole and Painlevé transcendents

We investigate spin-$0$ and spin-$\frac{1}{2}$ perturbations for non-extremal and extremal Reissner-Nordström 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.

preprint2022arXivOpen access
João Paulo CavalcanteBruno Carneiro da Cunha
gr-qchep-th
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João Paulo CavalcanteBruno Carneiro da Cunha

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