Regular black hole's impact on the gravitational waveforms from periodic orbits

2025/08/07 by Mirzabek Alloqulov, Alloqulov, Mirzabek, Sanjar Shaymatov +5 · 6 citations
Physics and Astronomy · #Angular momentum #Astrophysical Phenomena and Observations #Black hole (networking) #Charge (physics) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geodesic #Gravitation #Gravitational wave #Orbit (dynamics) #Orbital motion #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory #Spacetime

paper · pdf · doi:10.48550/arxiv.2508.05245

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2025/08/07 · openalex created_date 2025/10/18 · openalex updated_date 2026/08/08

Abstract

In this paper, we investigate periodic orbits exhibiting zoom-whirl behavior around a magnetically charged black hole (MCBH) within the framework of the regular black hole. We examine how the magnetic charge influences orbital dynamics by modifying the background spacetime geometry, thereby affecting the energy and angular momentum of particles. In particular, we calculate the radii of the marginally bound orbits (MBOs) and innermost stable circular orbits (ISCOs), demonstrating that the magnetic charge parameter reduces both radii. This provides valuable insight into the role of the charge parameter in shaping orbital behavior and altering spacetime geometry. We model the complex motion of a stellar-mass object as a timelike particle, inspiraling into a supermassive black hole (SMBH) in the MCBH background, with its trajectory described using periodic geodesic orbits. Based on this analysis of such periodic orbits, we further analyze the gravitational waveforms generated by extreme mass ratio inspirals (EMRIs), in which the SMBH's spacetime dominates the dynamics of the stellar-mass object. By combining particle trajectory analysis with waveform modeling in a semi-analytical approach, we show that the charge parameter significantly alters the zoom-whirl orbital dynamics and induces notable changes in the waveform structure. These results illustrate that future gravitational wave (GW) observations may constrain the properties of MCBHs, thereby deepening our understanding of the gravitational imprint of regular black holes.

Citations

• Gravitational-wave tails and memory effect for mergers in astrophysical environments
• Doubly regular black holes
• Periodic Orbits and Gravitational Wave Radiation of Black Holes in 4D-EGB gravity
• Gravitational wave cosmology
• Fully Relativistic Treatment of Extreme Mass-Ratio Inspirals in Collisionless Environments
• Periodic orbits and gravitational waveforms in quantum-corrected black hole spacetimes
• Gravitational waveforms from periodic orbits around a Schwarzschild black hole embedded in a Dehnen-type dark matter halo
• Periodic orbits and their gravitational wave radiations in black hole with dark matter halo
• Overcharging a nonsingular black hole in general relativity: the nonlinear electrodynamic field effects
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Disks, spikes, and clouds: distinguishing environmental effects on BBH gravitational waveforms
• TianQin: a space-borne gravitational wave detector
• The singularities of gravitational collapse and cosmology

Cited by

• 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 dyonic ModMax black hole
• Periodic orbits and their gravitational wave radiations in γ-metric
• Gravitational Wave Signatures from Periodic Orbits around a non-commutative inspired black hole surrounded by quintessence
• Periodic orbits and their gravitational waves in EMRIs: supermassive black hole affected by galactic dark matter halos
• Equatorial periodic orbits and gravitational wave signatures in Euler-Heisenberg black holes surrounded by perfect fluid dark matter

Related

• Probing regular black holes with sub-Planckian curvature through periodic orbits and their gravitational wave radiation
• Gravitational waveforms from periodic orbits around a charged black hole with scalar hair
• Periodic Orbits and Gravitational Wave Radiation of Black Holes in 4D-EGB gravity
• Equatorial periodic orbits and gravitational waveforms in a black hole free of Cauchy horizon
• Influence of external magnetic fields on charged particle motion around a Schwarzschild-like black hole