Scalar and Dirac perturbations of the Reissner-Nordström black hole and Painlevé transcendents
João Paulo Cavalcante, Bruno Carneiro da Cunha
Abstract
We investigate spin-0 and spin-$\frac{1}{2}$ perturbations for nonextremal 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 ``nondamping'' modes for $qQ$ above a spin-dependent critical value and locate the bifurcation point in the $q\ensuremath{-}Q$ parameter space.
Topics & Concepts
PhysicsScalar (mathematics)Mathematical physicsPerturbation (astronomy)Parameter spaceQuasinormal modeSpin (aerodynamics)Dirac delta functionCoupling parameterQuantum mechanicsQuantum electrodynamicsScalar fieldGeometryMathematicsThermodynamicsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesPulsars and Gravitational Waves Research