The Axial Gravitational Ringing of a Spherically Symmetric Black Hole Surrounded by Dark Matter Spike

Abstract

Supermassive black holes at the center of each galaxy may be surrounded by dark matter. Such dark matter admits a spike structure and vanishes at a certain distance from the black hole. This dark matter will impact the spacetime near the black hole and the related ringing gravitational waves can show distinguished features of the black hole without dark matter. In the present work, we focus on the quasi-normal modes of the axial gravitational perturbation who dominate the ringdown process of the perturbed black holes surrounded by dark matter spikes. The relativistic modification results in less impact on QNMs. And the relative ringing frequency difference between the black holes with and without dark matter can be as large as $10^{-2}$. These features can be used in future gravitational wave detection about extremal mass ratio inspiral systems to probe the existence of dark matter around supermassive black holes.

12 pages, 5 figures, 4 tables

References in corpus (27)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
• Gravitational-wave sensitivity curves
• First M87 Event Horizon Telescope Results. VIII. Magnetic Field Structure near The Event Horizon
• First M87 Event Horizon Telescope Results. VII. Polarization of the Ring
• Black holes in galaxies: environmental impact on gravitational-wave generation and propagation
• Gravitational waves from extreme-mass-ratio systems in astrophysical environments
• Analysis of Ringdown Overtones in GW150914
• Solutions of the Einstein equations for a black hole surrounded by a galactic halo
• Shadows of Sgr A${}^{\ast }$ Black Hole Surrounded by Superfluid Dark Matter Halo
• Modelling the Sgr A* Black Hole Immersed in a Dark Matter Spike
• Dark matter spikes in the vicinity of Kerr black holes
• Black holes in galactic centers: quasinormal ringing, grey-body factors and Unruh temperature
• Gravitational axial perturbations of Schwarzschild-like black holes in dark matter halos
• Imprints of dark matter on gravitational ringing of supermassive black holes
• Sensitivity functions for space-borne gravitational wave detectors
• Gauge Invariant Perturbations of General Spherically Symmetric Spacetimes
• Superfluid Dark Matter around Black Holes
• Spacetime metrics and ringdown waveforms for galactic black holes surrounded by a dark matter spike
• Self-interacting Dark Scalar Spikes around Black Holes via Relativistic Bondi Accretion
• Matrix method for perturbed black hole metric with discontinuity
• High-order matrix method with delimited expansion domain
• Quasinormal modes and echo effect of cylindrical anti-de Sitter black hole spacetime with a thin shell

Cited by in corpus (7)

• Overtones of black holes via time-domain integration
• Probing black holes in a dark matter spike of M87 using quasinormal modes
• Influence of dark matter equation of state on the axial gravitational ringing of supermassive black holes
• Gravitational Spectra and Wave Propagation in Regular Black Holes Supported by a Dehnen Halo
• Charged black hole surrounded by a galactic halo in de Sitter universe
• Long-lived modes and grey-body factors of massive fields in quantum-corrected (Hayward) black holes
• Nonradial oscillations of realistic anisotropic neutron stars: Axial modes