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

Abstract

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.

arXiv commentREVTeX4.2, 16 pages, 6 figures, 4 tables

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• Exceptional point and hysteresis in perturbations of Kerr black holes
• Massive scalar perturbations in Kerr Black Holes: near extremal analysis
• Absorption cross section in gravity's rainbow from confluent Heun equation
• More on the SW-QNM correspondence
• Immortality through the dark forces: Dark-charge primordial black holes as dark matter candidates
• Stability of the spacetime of a magnetized compact object
• Ergodic Hysteresis of the Kerr black hole spectrum