Periodic orbits and their gravitational wave radiations in black hole with dark matter halo

Abstract

This study investigates the gravitational dynamics of a spherically symmetric black hole embedded within a dark matter halo, focusing on the impact of the dark matter halo on time-like particle geodesics. We analyze key orbital parameters, including marginally bound orbits, innermost stable circular orbits, and periodic orbits, demonstrating how the dark matter halo alters their energy and angular momentum compared to an isolated black hole. Furthermore, we calculate the gravitational waveforms emitted by these periodic orbits, providing potential observational signatures for such systems. Our results demonstrate a clear correlation between the gravitational waveforms emitted by a small object orbiting a supermassive black hole and the object's zoom-whirl orbital behavior. Higher zoom numbers correspond to more complex waveform substructures. The presence of a dark matter halo significantly impacts these waveforms. We have conducted a detailed analysis of the frequency spectra of the gravitational waveforms arising from these periodic orbits and evaluated their potential detectability. This research contributes to a deeper understanding of the interplay between black holes and dark matter halos, offering insights into their complex gravitational interactions.

19 pages, 15 figures, 2 tables, version published in Physical Review D

References in corpus (27)

• Can environmental effects spoil precision gravitational-wave astrophysics?
• Shadow of a black hole surrounded by dark matter
• Concepts and status of Chinese space gravitational wave detection projects
• Black holes in galaxies: environmental impact on gravitational-wave generation and propagation
• A Periodic Table for Black Hole Orbits
• 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
• Science with the TianQin observatory: Preliminary results on stellar-mass binary black holes
• Black holes surrounded by generic dark matter profiles: appearance and gravitational-wave emission
• Adiabatic waveforms from extreme-mass-ratio inspirals: an analytical approach
• Periodic orbits around a spherically symmetric naked singularity
• Dynamics of Black Hole Pairs I: Periodic Tables
• Periodic orbits and their gravitational wave radiations in a polymer black hole in loop quantum gravity
• Gravitational axial perturbations of Schwarzschild-like black holes in dark matter halos
• Geodesics and periodic orbits in Kehagias-Sfetsos black holes in deformed Hourava-Lifshitz gravity
• Analytical models of supermassive black holes in galaxies surrounded by dark matter halos
• Black holes surrounded by Einstein clusters as models of dark matter fluid
• Gravitational waveforms from periodic orbits around a quantum-corrected black hole
• Imprints of dark matter on gravitational ringing of supermassive black holes
• Precessing and periodic timelike orbits and their potential applications in Einsteinian cubic gravity
• Timelike bound orbits and pericenter precession around black hole with conformally coupled scalar hair
• Periodic orbits and gravitational wave radiation in short hair black hole spacetimes for an extreme mass ratio system
• Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole
• Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes
• Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb-Ramond gravity
• Bound Orbits and Gravitational Wave Radiation Around the Hairy Black Hole
• Periodic orbits of neutral test particles in Reissner-Nordström naked singularities

Cited by in corpus (11)

• Gravitational radiations from periodic orbits around Einstein-Æther black holes
• Charged black hole surrounded by a galactic halo in de Sitter universe
• Gravitational Wave Signatures from Periodic Orbits around a non-commutative inspired black hole surrounded by quintessence
• Shadows and Observational Images of a Schwarzschild-like Black Hole Surrounded by a Dehnen-type Dark Matter Halo
• 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
• Periodic Orbits and Gravitational Wave Radiation of Black Hole in EGB gravity
• Periodic orbits and gravitational waveforms of black holes in bumblebee gravity
• Gravitational emissions and light curves of quasi-periodic orbits in Schwarzschild spacetime embedded in a Dehnen-type dark matter halo
• Equatorial periodic orbits and gravitational wave signatures in Euler-Heisenberg black holes surrounded by perfect fluid dark matter