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.

REVTeX4.2, 16 pages, 6 figures, 4 tables

References in corpus (8)

• Quasinormal modes of charged fields around a Reissner-Nordström black hole
• Isomonodromy, Painlevé Transcendents and Scattering off of Black Holes
• Greybody factors at large imaginary frequencies
• Synchronous frequencies of extremal Kerr black holes: resonances, scattering and stability
• Riemann-Hilbert correspondence and blown up surface defects
• Teukolsky master equation and Painlevé transcendents: numerics and extremal limit
• Accessory parameters in confluent Heun equations and classical irregular conformal blocks
• Quantum spectral problems and isomonodromic deformations

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• 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