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arxiv 1912.13320 v2 pith:HYDMG5KS submitted 2019-12-25 gr-qc

Quasinormal Modes of Black Holes Surrounded by Dark Matter and Their Connection with the Shadow Radius

classification gr-qc
keywords partradiusrealshadowblackdarkfieldfrequencies
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The purpose of this article is twofold. First, we highlight a simple connection between the real part of quasinormal modes (QNMs) in the eikonal limit and shadow radius of BHs and then explore the effect of dark matter on the QNMs of massless scalar field and electromagnetic field perturbations in a black hole (BH) spacetime surrounded by perfect fluid dark matter (BHPFDM). Using the WKB approximation we show that the quasinormal mode spectra of BHPFDM deviate from those of Schwarzschild black hole due to the presence of the PFDM encoded by the parameter $k$. Moreover it is shown that for any $k>0$, the real part and the absolute value of the imaginary part of QNM frequencies increases and this means that the field perturbations in the presence of PFDM decays more rapidly compared to Schwarzschild vacuum BH. We point out that there exists a reflecting point $k_0$ corresponding to maximal values for the real part of QNM frequencies. Namely, as the PFDM parameter $k$ increases in the interval $k<k_0$, the QNM frequencies increases and reach their maximum values at $k=k_0$. Finally we show that $k_0$ is also a reflecting point for the shadow radius while this conclusion can be deduced directly from the inverse relation between the real part of QNMs and the shadow radius.

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Cited by 3 Pith papers

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

  1. Eikonal quasinormal modes, greybody factors and shadow of charged accelerating black holes

    gr-qc 2026-03 unverdicted novelty 6.0

    Eikonal quasinormal modes for accelerating black holes are determined by the angular velocity and Lyapunov exponent of null geodesics, yielding universal greybody factors for any spin and explicit shadow radii that re...

  2. Scalar and Electromagnetic Perturbations around a Black Hole with a Topological Defect: Quasinormal Modes and Quasi-bound States in a Plasma Medium

    gr-qc 2026-07 conditional novelty 4.0

    Plasma and a topological-defect parameter k jointly shift scalar QNM frequencies and permit electromagnetic quasi-bound states only for homogeneous plasma below a critical frequency threshold.

  3. Search for growing angular modes in ultracompact boson star evolutions

    gr-qc 2025-08 unverdicted novelty 4.0

    The paper decomposes simulation data of ultracompact boson stars into spherical harmonics as a first step toward characterizing non-spherical modes.