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Quasinormal modes, quasibound states, scalar clouds, and superradiant instabilities of a Kerr-like black hole

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arxiv 2205.00556 v2 pith:7OTEAB2V submitted 2022-05-01 gr-qc astro-ph.HEhep-th

Pedro Henrique Croti Siqueira , Maurício Richartz This is my paper
classification gr-qcastro-ph.HEhep-th
keywords blackscalarholefieldinstabilitieskerr-likeparameteraround
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abstract

We use the continued fraction method to determine the eigenfrequencies associated with a scalar field around a Kerr-like black hole. The Kerr-like metric considered in this article is a subclass of the general parametrization of axisymmetric black holes proposed by Konoplya, Rezzolla and Zhidenko. In addition to its mass $M$ and specific angular momentum $a$, the black hole depends on a third parameter $\eta$, called the deformation parameter. We investigate how the deformation parameter affects the quasinormal modes and the quasibound states of a massive scalar field around the black hole. In particular, we compute the time scales associated with the superradiant instabilities of the scalar field in such a spacetime. The properties of stationary scalar clouds that could be formed by these instabilities are also discussed.

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Cited by 4 Pith papers

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

  1. Exceptional lines in the Kerr-Newman black hole spectrum

    gr-qc 2026-07 accept novelty 5.5 of 10

    Near-extremal Kerr-Newman black holes host exceptional lines of degenerate (ℓ,m)=(1,1) scalar overtones that induce spectral permutations and link to zero-damping/damped mode branching.

  2. The Spectroscopy of the 2+1 Dimensional Analog Black Hole in Photon-Fluid Model

    gr-qc 2025-09 conditional novelty 5.0 of 10

    For the 2+1D photon-fluid analog black hole, the paper derives exact quasibound states, Hawking radiation, superradiance amplification, and greybody factors, finding superradiance for ̟ < ω < m_l Ω_H.

  3. Connection Between the Shadow Radius and Quasinormal Frequencies for Black Holes in STVG with Perfect Fluid Dark Matter

    gr-qc 2026-03 conditional novelty 4.0 of 10

    In STVG with PFDM, eikonal QNM real frequencies equal multipole number over shadow radius, so shadow size and ringdown are dual photon-sphere observables.

  4. Black holes surrounded by dark matter spike: Spacetime metrics and gravitational wave ringdown waveforms

    gr-qc 2025-01 unverdicted novelty 4.0 of 10

    Black hole spacetimes in dark matter spikes are solved analytically from TOV equations; ringdown quasinormal frequencies differ from Schwarzschild by up to order 10^{-4}.

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