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Gravitational ringing and superradiant instabilities of the Kerr-like black holes in a dark matter halo

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arxiv 2204.11563 v6 pith:NY3I7JJR submitted 2022-04-25 gr-qc

Dong Liu , Yi Yang , Ali Övgün , Zheng-Wen Long , Zhaoyi Xu This is my paper · ORCID
classification gr-qc
keywords blackdarkmatterholesgravitationalhalomodelhole
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abstract

Supermassive black holes from the center of galaxy may be immersed in a dark matter halo. This dark matter halo may form a "cusp" structure around the black hole and disappear at a certain distance from the black hole. Based on this interesting physical background, we use the continued fraction method to study gravitational ringring of the Kerr-like black holes immersed in a dark matter halo, i.e., quasinormal modes (QNM) and quasibound states (QBS). We consider these gravitational ringring of black holes both in cold dark matter (CDM) model and scalar field dark matter (SFDM) model at the LSB galaxy, and compare them with Kerr black hole. By testing the states of QNM/QBS frequencies with different parameters $l,m,a$, we confirm the existence of the superradiant instabilities when the black holes both in CDM model and SFDM model. Besides, we also study the impacts of dark matter parameters on the QNM/QBS of black holes at the specific circumstances. In the future, these results may be used for gravitational wave detection of supermassive black holes, and may provide an effective method for detecting the existence of dark matter.

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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. Tidal Love numbers and quasi-normal modes of the Schwarzschild-Hernquist black hole

    gr-qc 2024-12 conditional novelty 6.0 of 10

    For a Schwarzschild black hole in a relativistic Hernquist dark matter halo, quasinormal-mode frequency shifts scale as (MDM/rs)^(3/2) rather than linearly, while tidal Love numbers are small and sensitive to the choi...

  2. Beyond general relativity: gravitational waves in non-minimally coupled theories

    gr-qc 2025-10 conditional novelty 5.0 of 10

    A generalized propagation parameterization for gravitational-wave strains is extended to O(H²) and O(H′), then mapped to Kalb-Ramond, axion-dilaton–Chern-Simons–Gauss-Bonnet, and U(1) dark-photon models.

  3. Probing black holes via quasinormal modes in a dark energy-induced dark matter

    gr-qc 2024-12 reject novelty 5.0 of 10

    For a dark-energy-induced dark matter black hole metric, quasinormal mode frequencies decrease in real part and damping as η and λG increase, relative to Schwarzschild.

  4. Ringdown of a black hole sourced by a Burkert-density effective anisotropic source

    gr-qc 2025-11 reject novelty 4.0 of 10

    The Burkert-halo black hole metric and its quasinormal-mode shifts are computed, but the model's source is not Burkert and the axial gravitational potential is incorrect.

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