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Analytic expressions for quasinormal modes of the general parametrized spherically symmetric black holes and the Hod's proposal

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arxiv 2409.16569 v1 pith:X56QHRLA submitted 2024-09-25 gr-qc

Alexey Dubinsky This is my paper · ORCID
classification gr-qc
keywords analyticblackholesgenericparametrizedproposalsmallspherically
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Using an expansion in terms of the inverse multipole number and the WKB approach, we derive an analytic expression for generic parametrized spherically symmetric and asymptotically flat black holes described by the Rezzolla-Zhidenko spacetime, in the regime when deviations from the Schwarzschild geometry are relatively small, i.e., when the coefficients of the parametrization are small. As an application of this analytic formula, we demonstrate that such generic black holes satisfy Hod's proposal, which constrains the damping rate of the least damped mode in relation to the Hawking temperature.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-Minimal Einstein-Yang-Mills Black Holes: Fundamental Quasinormal Mode and Grey-Body factors versus Outburst of Overtones

    gr-qc 2025-04 conditional novelty 6.0 of 10

    For non-minimal Einstein-Yang-Mills black holes, the fundamental quasinormal mode stays Schwarzschild-like but the first overtones deviate sharply, with the ℓ=0 second overtone's real frequency tending to zero as the ...

  2. Gravitational perturbations of a regular T-duality inspired black hole: Quasinormal modes, excitation factors, and time-domain evolution

    gr-qc 2026-07 conditional novelty 4.0 of 10

    Gravitational quasinormal-mode frequencies of a T-duality-inspired regular black hole are computed, showing the zero-point length makes the ringdown oscillate faster and alters damping non-monotonically.

  3. Bonanno-Reuter regular black hole: quasi-resonances, grey-body factors and absorption cross-sections of a massive scalar field

    gr-qc 2025-10 conditional novelty 4.0 of 10

    Damping of massive scalar quasinormal modes decreases with field mass in the Bonanno-Reuter black hole, and grey-body factors shift to higher frequencies.

  4. Correspondence between quasinormal modes and grey-body factors for massive fields in Schwarzschild-de Sitter spacetime

    gr-qc 2024-12 conditional novelty 4.0 of 10

    For massive scalar fields around de Sitter black holes, grey-body factors computed from quasinormal modes agree with direct WKB calculations to high precision, even for low multipoles.

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