Imprints of dark matter on gravitational ringing of supermassive black holes

Abstract

Gravitational waves emitted from the gravitational ringing of supermassive black holes are important targets to test general relativity and probe the matter environment surrounding such black holes. The main components of the ringing waveform are black hole quasi-normal modes. In this paper, we study the effects of the dark matter halos with three different density profiles on the gravitational polar (even-parity) perturbations of a supermassive black hole. For this purpose, we first consider modified Schwarzschild spacetime with three different dark matter profiles and derive the equation of motion of the polar perturbations of the supermassive black hole. It is shown that by ignoring the dark matter perturbations, a Zerilli-like master equation with a modified potential for the polar perturbation can be obtained explicitly. Then we calculate the complex frequencies of the quasi-normal modes of the supermassive black hole in the dark matter halos. The corresponding gravitational wave spectra with the effects of the dark matter halos and their detectability have also been discussed.

15 pages, 6 figures, 4 tables. arXiv admin note: substantial text overlap with arXiv:2111.04966; version appeared in Physics of the Dark Universe

References in corpus (24)

• 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
• Can environmental effects spoil precision gravitational-wave astrophysics?
• First M87 Event Horizon Telescope Results. VII. Polarization of the Ring
• Gravitational wave searches for ultralight bosons with LIGO and LISA
• Concepts and status of Chinese space gravitational wave detection projects
• Black holes in galaxies: environmental impact on gravitational-wave generation and propagation
• Mining information from binary black hole mergers: a comparison of estimation methods for complex exponentials in noise
• A comprehensive catalog of dark matter halo models for SPARC galaxies
• Shadows of Sgr A${}^{\ast }$ Black Hole Surrounded by Superfluid Dark Matter Halo
• Science with the TianQin observatory: Preliminary results on stellar-mass binary black holes
• Black holes in galactic centers: quasinormal ringing, grey-body factors and Unruh temperature
• Master Equations for Gravitational Perturbations of Static Lovelock Black Holes in Higher Dimensions
• Gravitational axial perturbations of Schwarzschild-like black holes in dark matter halos
• Deformed black hole immersed in dark matter spike
• Ringing of a black hole in a dark matter halo
• Spherically symmetric static black holes in Einstein-aether theory
• Searching for ultralight bosons with supermassive black hole ringdown

Cited by in corpus (18)

• Black hole merger simulations in wave dark matter environments
• Gravitational ringing and superradiant instabilities of the Kerr-like black holes in a dark matter halo
• Probing black holes in a dark matter spike of M87 using quasinormal modes
• Periodic orbits and their gravitational wave radiations in black hole with dark matter halo
• Quasi-Normal Modes of Loop Quantum Black Holes Formed from Gravitational Collapse
• High-order matrix method with delimited expansion domain
• The Axial Gravitational Ringing of a Spherically Symmetric Black Hole Surrounded by Dark Matter Spike
• Modeling the black holes surrounded by a dark matter halo in the galactic center of M87
• Influence of dark matter equation of state on the axial gravitational ringing of supermassive black holes
• Thermodynamics of static and stationary black holes in Einstein-Gauss-Bonnet gravity with dark matter
• Probing the black holes in a dark matter halo of M87 using gravitational wave echoes
• Galactic black hole immersed in a dark halo with its surrounding thin accretion disk
• Universal horizons and black hole spectroscopy in gravitational theories with broken Lorentz symmetry
• The Quasinormal Modes and Isospectrality of Bardeen (Anti-) de Sitter Black Holes
• Periodic orbits and their gravitational wave radiations in $\gamma$-metric
• Matter environments around black holes: geodesics, light rings, and ultracompact configurations
• Gravitational radiations from periodic orbits around a black hole in the effective field theory extension of general relativity
• Constraining Light Scalar Field with Torsion-Balance Gravity Experiments