Bound Orbits and Gravitational Wave Radiation Around the Hairy Black Hole

Abstract

The hairy black hole model provides a new theoretical framework for exploring phenomena in strong gravitational fields. This paper systematically investigates the influence of the hair parameter $\beta$ on the timelike geodesics of the regular hairy black hole, including the radius of the event horizon, the properties of bound orbits, and the characteristics of gravitational wave radiation over a single period. The study reveals that $\beta$ has a significant impact on the event horizon but only a minor effect on the innermost stable circular orbit(ISCO), the marginally bound orbit(MBO), and periodic orbits. Moreover, the trajectories of the periodic orbits are nearly identical to those of the Schwarzschild black hole. In addition, the parameter $\beta$ was constrained by simulating the precession observational data of the S2 star orbiting the supermassive black hole Sgr A*. The results indicate that the correction effects of $\beta$ comply with existing observational constraints, without providing stricter limitations. Furthermore, by considering periodic orbits as transitional orbits in the extreme-mass-ratio inspiral (EMRI) system, it is found that the presence of $\beta$ introduces subtle effects on the amplitude, phase, and period of the gravitational wave signal for a single orbit. Although these effects appear minor within a single cycle, they may accumulate into significant effects over long-term evolution. In the future, space-based gravitational wave detectors are expected to further investigate the properties of the hair parameter, enhancing our understanding of the spacetime structure and dynamical behavior of black holes.

References in corpus (57)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• TianQin: a space-borne gravitational wave detector
• 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
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• A rotating black ring in five dimensions
• Properties of the Binary Black Hole Merger GW150914
• Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
• Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA
• Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
• Gravitational Radiation Reaction to a Particle Motion
• A supersymmetric black ring
• Zoom & Whirl: Eccentric equatorial orbits around spinning black holes and their evolution under gravitational radiation reaction
• "Kludge" gravitational waveforms for a test-body orbiting a Kerr black hole
• Testing General Relativity with stellar orbits around the supermassive black hole in our Galactic center
• Black holes by gravitational decoupling
• Motion of charged test particles in Reissner--Nordström spacetime
• A Periodic Table for Black Hole Orbits
• Non-supersymmetric smooth geometries and D1-D5-P bound states
• Hairy black holes by gravitational decoupling
• Gravitational decoupling for axially symmetric systems and rotating black holes
• Gravitational radiation reaction and inspiral waveforms in the adiabatic limit
• Towards adiabatic waveforms for inspiral into Kerr black holes: I. A new model of the source for the time domain perturbation equation
• Zoom-Whirl Orbits in Black Hole Binaries
• Coexistence of black holes and a long-range scalar field in cosmology
• Scalar hairy black holes and solitons in asymptotically flat spacetimes
• Homoclinic Orbits around Spinning Black Holes I: Exact Solution for the Kerr Separatrix
• Testing the Kerr-nature of stellar-mass black hole candidates by combining the continuum-fitting method and the power estimate of transient ballistic jets
• Probing vector hair of black holes with extreme mass ratio inspirals
• Perturbed stellar motions around the rotating black hole in Sgr A* for a generic orientation of its spin axis
• Extreme Dark Matter Tests with Extreme Mass Ratio Inspirals
• Microstates of the D1-D5-KK System
• Extreme Mass Ratio Inspirals: LISA's unique probe of black hole gravity
• Analysis of the Yukawa gravitational potential in $f(R)$ gravity II: relativistic periastron advance
• General relativistic effects on the orbit of the S2 star with GRAVITY
• Scalar field effects on the orbit of S2 star
• Gravitational waves with dark matter minispikes: the combined effect
• Periodic orbits around a spherically symmetric naked singularity
• Rational Orbits around Charged Black Holes
• X-MRIs: Extremely Large Mass-Ratio Inspirals
• Dynamics of Black Hole Pairs I: Periodic Tables
• Periodic orbits and their gravitational wave radiations in a polymer black hole in loop quantum gravity
• C-metric with a conformally coupled scalar field in a magnetic universe
• The harmonic structure of generic Kerr orbits
• Regular hairy black holes through Minkowski deformation
• Dark matter: an efficient catalyst for intermediate-mass-ratio-inspiral events
• Homoclinic Orbits around Spinning Black Holes II: The Phase Space Portrait
• Dynamics of Black Hole Pairs II: Spherical Orbits and the Homoclinic Limit of Zoom-Whirliness
• Circular Orbits Structure and Thin Accretion Disks around Kerr Black Holes with Scalar Hair
• A static and spherically symmetric hairy black hole in the framework of the Gravitational Decoupling
• Bounding the mass of ultralight bosonic Dark Matter particles with the motion of the S2 star around Sgr A*
• Existence Theorems for Hairy Black Holes in su(N) Einstein-Yang-Mills theories
• Instability of hairy black holes in spontaneously-broken Einstein-Yang-Mills-Higgs systems
• Black holes with electroweak hair
• Energies and angular momenta of periodic Schwarzschild geodesics

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• Gravitational Wave Signatures from Periodic Orbits around a non-commutative inspired black hole surrounded by quintessence
• Constraints on the Scale Parameter of Regular Black Hole in Asymptotically Safe Gravity from Extreme Mass Ratio Inspirals
• Periodic Orbits and Gravitational Wave Radiation of Black Hole in EGB gravity
• Gravitational radiations from periodic orbits around a black hole in the effective field theory extension of general relativity
• Gravitational waveforms from periodic orbits around a novel regular black hole
• Shadow constraints of charged black hole with scalar hair and gravitational waves from extreme mass ratio inspirals
• Equatorial periodic orbits and gravitational wave signatures in Euler-Heisenberg black holes surrounded by perfect fluid dark matter
• Gravitational emissions and light curves of quasi-periodic orbits in Schwarzschild spacetime embedded in a Dehnen-type dark matter halo