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Massive scalar perturbations in Kerr Black Holes: near extremal analysis

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arxiv 2408.13964 v3 pith:C54WEBTG submitted 2024-08-26 gr-qc hep-th

João Paulo Cavalcante , Maurício Richartz , Bruno Carneiro da Cunha This is my paper · ORCID
classification gr-qchep-th
keywords modescalarblackextremalfrequenciesholeskerrmassive
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abstract

We study quasinormal modes of massive scalar perturbations in Kerr black holes using the isomonodromic method. For arbitrary scalar masses $M \mu$ and black hole spins $a/M$, we numerically determine the quasinormal frequencies for various orbital $\ell$, azimuthal $m$, and overtone $n$ numbers. In particular, we derive an analytic expression for frequencies of the zero-damping modes near the extremal limit $a/M \rightarrow 1$. For $\ell=m=1$, we reveal that the fundamental mode becomes a damped mode (rather than a zero-damping mode) if the scalar field is sufficiently heavy. By exploring the parameter space, we find numerical evidence for level-crossing between the longest-living mode and the first overtone at an exceptional point $(M\mu)_c \simeq 0.3704981$ and $(a/M)_c\simeq 0.9994660$.

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Cited by 6 Pith papers

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  1. One-loop corrections to near extremal Kerr thermodynamics from semiclassical Virasoro blocks

    hep-th 2024-12 conditional novelty 7.0 of 10

    Near-extremal Kerr black holes get a universal (s-1/2) log T_H entropy correction from long-lived modes, derived exactly from Virasoro blocks.

  2. Exceptional Lines and Excitation of (Nearly) Double-Pole Quasinormal Modes: A Semi-Analytic Study in the Nariai Black Hole

    gr-qc 2026-01 conditional novelty 6.0 of 10

    In the near-Nariai limit of rotating de Sitter black holes, massive scalar perturbations have a continuous curve of exceptional points where prograde and retrograde quasinormal modes merge, and the resulting double-po...

  3. Ergodic Hysteresis of the Kerr black hole spectrum

    gr-qc 2025-11 conditional novelty 6.0 of 10

    Near-extremal Kerr black holes with massive scalar fields exhibit a cascade of exceptional points that can adiabatically permute arbitrary quasinormal-mode overtones.

  4. One loop corrections to the thermodynamics of near-extremal Kerr-(A)dS black holes from Heun equation

    hep-th 2025-06 conditional novelty 6.0 of 10

    Cold near-extremal Kerr-de Sitter black holes carry universal log(T) entropy corrections while rotating Nariai geometries do not, as derived from Teukolsky/Heun connection coefficients.

  5. Exceptional line and pseudospectrum in black hole spectroscopy

    gr-qc 2025-11 conditional novelty 5.0 of 10

    A continuous line of exceptional points exists in the three-parameter space of a Gaussian-bump-perturbed Regge-Wheeler potential, with pseudospectral contour sizes scaling as ε^{1/2} at second-order EPs.

  6. Quasinormal spectra of higher dimensional regular black holes in theories with infinite curvature corrections

    gr-qc 2025-09 conditional novelty 5.0 of 10

    For six families of higher-dimensional regular black holes, positive higher-curvature coupling reduces quasinormal-mode oscillation frequencies and damping rates, a trend verified at low and eikonal multipoles.

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