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.
Scalar/Dirac perturbations of the Reissner-Nordstr\"om black hole and Painlev\'e transcendents
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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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Stability of the spacetime of a magnetized compact object
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.