Curled orbit and epicyclic oscillation of charged particles around the weakly magnetized black hole in the presence of Lorentz violation

Abstract In this paper, we investigate the motion of charged particles around the weakly magnetized Schwarzschild-like bumblebee black hole which has Lorentz symmetry breaking. Charged particles have curled orbits around the black hole which can only appear in the presence of external magnetic field...

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Main Authors: Hai-Yang Zhang, Ya-Peng Hu, Yu-Sen An
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-14448-8
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author Hai-Yang Zhang
Ya-Peng Hu
Yu-Sen An
author_facet Hai-Yang Zhang
Ya-Peng Hu
Yu-Sen An
author_sort Hai-Yang Zhang
collection DOAJ
description Abstract In this paper, we investigate the motion of charged particles around the weakly magnetized Schwarzschild-like bumblebee black hole which has Lorentz symmetry breaking. Charged particles have curled orbits around the black hole which can only appear in the presence of external magnetic field. We investigate the effect of Lorentz violating factor on the curled orbit for both the case with and without cosmological constant. Furthermore, we investigate the harmonic oscillation behaviors of the charged particles around the stable circular orbit. By using the epicyclic resonance model, we relate the harmonic oscillations of charged particles to the twin high frequency quasi-periodic oscillations observed in micro-quasars. Based on the observations of quasi-periodic oscillation, we provide a stringent constraint on the Lorentz violating parameter by using Markov Chain Monte Carlo algorithm. As the black hole shadow for Schwarzschild-like bumblebee black hole degenerates to the ordinary Schwarzschild black hole, the constraint we obtained from the quasi-period oscillation is crucial for further searching for the imprint of Lorentz symmetry breaking in our universe.
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institution DOAJ
issn 1434-6052
language English
publishDate 2025-07-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-60ff71a8bd9d4e51b7322edfd44f13fd2025-08-20T03:03:25ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-07-0185711510.1140/epjc/s10052-025-14448-8Curled orbit and epicyclic oscillation of charged particles around the weakly magnetized black hole in the presence of Lorentz violationHai-Yang Zhang0Ya-Peng Hu1Yu-Sen An2College of Physics, Nanjing University of Aeronautics and AstronauticsCollege of Physics, Nanjing University of Aeronautics and AstronauticsCollege of Physics, Nanjing University of Aeronautics and AstronauticsAbstract In this paper, we investigate the motion of charged particles around the weakly magnetized Schwarzschild-like bumblebee black hole which has Lorentz symmetry breaking. Charged particles have curled orbits around the black hole which can only appear in the presence of external magnetic field. We investigate the effect of Lorentz violating factor on the curled orbit for both the case with and without cosmological constant. Furthermore, we investigate the harmonic oscillation behaviors of the charged particles around the stable circular orbit. By using the epicyclic resonance model, we relate the harmonic oscillations of charged particles to the twin high frequency quasi-periodic oscillations observed in micro-quasars. Based on the observations of quasi-periodic oscillation, we provide a stringent constraint on the Lorentz violating parameter by using Markov Chain Monte Carlo algorithm. As the black hole shadow for Schwarzschild-like bumblebee black hole degenerates to the ordinary Schwarzschild black hole, the constraint we obtained from the quasi-period oscillation is crucial for further searching for the imprint of Lorentz symmetry breaking in our universe.https://doi.org/10.1140/epjc/s10052-025-14448-8
spellingShingle Hai-Yang Zhang
Ya-Peng Hu
Yu-Sen An
Curled orbit and epicyclic oscillation of charged particles around the weakly magnetized black hole in the presence of Lorentz violation
European Physical Journal C: Particles and Fields
title Curled orbit and epicyclic oscillation of charged particles around the weakly magnetized black hole in the presence of Lorentz violation
title_full Curled orbit and epicyclic oscillation of charged particles around the weakly magnetized black hole in the presence of Lorentz violation
title_fullStr Curled orbit and epicyclic oscillation of charged particles around the weakly magnetized black hole in the presence of Lorentz violation
title_full_unstemmed Curled orbit and epicyclic oscillation of charged particles around the weakly magnetized black hole in the presence of Lorentz violation
title_short Curled orbit and epicyclic oscillation of charged particles around the weakly magnetized black hole in the presence of Lorentz violation
title_sort curled orbit and epicyclic oscillation of charged particles around the weakly magnetized black hole in the presence of lorentz violation
url https://doi.org/10.1140/epjc/s10052-025-14448-8
work_keys_str_mv AT haiyangzhang curledorbitandepicyclicoscillationofchargedparticlesaroundtheweaklymagnetizedblackholeinthepresenceoflorentzviolation
AT yapenghu curledorbitandepicyclicoscillationofchargedparticlesaroundtheweaklymagnetizedblackholeinthepresenceoflorentzviolation
AT yusenan curledorbitandepicyclicoscillationofchargedparticlesaroundtheweaklymagnetizedblackholeinthepresenceoflorentzviolation