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Dynamics of black hole in dark matter halo: Quasinormal modes

Bobir Toshmatov1,2,*, Bobomurat Ahmedov2,3,4,†, Azamjon Boydedayev2,‡, and Bahodir Ahmedov1,§

  • *Contact author: toshmatov@astrin.uz
  • †Contact author: ahmedov@astrin.uz
  • ‡Contact author: boydedayev@astrin.uz
  • §Contact author: b.ahmedov@newuu.uz
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Phys. Rev. D 111, 124058 – Published 30 June, 2025

DOI: https://doi.org/10.1103/mphy-svrk

Abstract

In this paper, we explore the scalar, electromagnetic, and gravitational perturbations of a Schwarzschild black hole embedded within a Dehnen-(1, 4, γ) dark matter halo. We focus on three distinct values of γ, each yielding a unique central behavior for the dark matter distribution: γ=1, where the central density vanishes; γ=0, where it remains finite; and γ=1, where it diverges. Employing higher-order Wentzel-Kramers-Brillouin and asymptotic iteration methods, we calculate the characteristic oscillation frequencies, namely, the quasinormal modes and present their temporal evolution using a time-domain approach. Our findings indicate that dark matter amplifies the gravitational pull of the black hole. While it reduces the actual oscillation frequencies of the perturbations, its impact on the damping rates of the fundamental modes is negligible. However, in the nonfundamental modes, both the real and imaginary parts of the quasinormal frequencies exhibit a pronounced decay.

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Phys. Rev. D 111, 124058– Published 30 June, 2025
  • Received 10 March 2025
  • Accepted 17 June 2025
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