Dynamics of Charged Particles Moving around Kerr Black Hole with Inductive Charge and External Magnetic Field

We mainly focus on the effects of small changes of parameters on the dynamics of charged particles around Kerr black holes surrounded by an external magnetic field, which can be considered as a tidal environment. The radial motions of charged particles on the equatorial plane are studied via an effe...

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Autores principales: Xin Sun, Xin Wu, Yu Wang, Chen Deng, Baorong Liu, Enwei Liang
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Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:7b49ea0a1f004c05a79987def36450c72021-11-25T19:09:33ZDynamics of Charged Particles Moving around Kerr Black Hole with Inductive Charge and External Magnetic Field10.3390/universe71104102218-1997https://doaj.org/article/7b49ea0a1f004c05a79987def36450c72021-10-01T00:00:00Zhttps://www.mdpi.com/2218-1997/7/11/410https://doaj.org/toc/2218-1997We mainly focus on the effects of small changes of parameters on the dynamics of charged particles around Kerr black holes surrounded by an external magnetic field, which can be considered as a tidal environment. The radial motions of charged particles on the equatorial plane are studied via an effective potential. It is found that the particle energies at the local maxima values of the effective potentials increase with an increase in the black hole spin and the particle angular momenta, but decrease with an increase of one of the inductive charge parameter and magnetic field parameter. The radii of stable circular orbits on the equatorial plane also increase, whereas those of the innermost stable circular orbits decrease. On the other hand, the effects of small variations of the parameters on the orbital regular and chaotic dynamics of charged particles on the non-equatorial plane are traced by means of a time-transformed explicit symplectic integrator, Poincaré sections and fast Lyapunov indicators. It is shown that the dynamics sensitivity depends on small variations in the inductive charge parameter, magnetic field parameter, energy, and angular momentum. Chaos occurs easily as each of the inductive charge parameter, magnetic field parameter, and energy increases but is weakened as the angular momentum increases. When the dragging effects of the spacetime increase, the chaotic properties are not always weakened under some circumstances.Xin SunXin WuYu WangChen DengBaorong LiuEnwei LiangMDPI AGarticleKerr black holemagnetic fieldcircular orbitschaossymplectic integratorElementary particle physicsQC793-793.5ENUniverse, Vol 7, Iss 410, p 410 (2021)
institution DOAJ
collection DOAJ
language EN
topic Kerr black hole
magnetic field
circular orbits
chaos
symplectic integrator
Elementary particle physics
QC793-793.5
spellingShingle Kerr black hole
magnetic field
circular orbits
chaos
symplectic integrator
Elementary particle physics
QC793-793.5
Xin Sun
Xin Wu
Yu Wang
Chen Deng
Baorong Liu
Enwei Liang
Dynamics of Charged Particles Moving around Kerr Black Hole with Inductive Charge and External Magnetic Field
description We mainly focus on the effects of small changes of parameters on the dynamics of charged particles around Kerr black holes surrounded by an external magnetic field, which can be considered as a tidal environment. The radial motions of charged particles on the equatorial plane are studied via an effective potential. It is found that the particle energies at the local maxima values of the effective potentials increase with an increase in the black hole spin and the particle angular momenta, but decrease with an increase of one of the inductive charge parameter and magnetic field parameter. The radii of stable circular orbits on the equatorial plane also increase, whereas those of the innermost stable circular orbits decrease. On the other hand, the effects of small variations of the parameters on the orbital regular and chaotic dynamics of charged particles on the non-equatorial plane are traced by means of a time-transformed explicit symplectic integrator, Poincaré sections and fast Lyapunov indicators. It is shown that the dynamics sensitivity depends on small variations in the inductive charge parameter, magnetic field parameter, energy, and angular momentum. Chaos occurs easily as each of the inductive charge parameter, magnetic field parameter, and energy increases but is weakened as the angular momentum increases. When the dragging effects of the spacetime increase, the chaotic properties are not always weakened under some circumstances.
format article
author Xin Sun
Xin Wu
Yu Wang
Chen Deng
Baorong Liu
Enwei Liang
author_facet Xin Sun
Xin Wu
Yu Wang
Chen Deng
Baorong Liu
Enwei Liang
author_sort Xin Sun
title Dynamics of Charged Particles Moving around Kerr Black Hole with Inductive Charge and External Magnetic Field
title_short Dynamics of Charged Particles Moving around Kerr Black Hole with Inductive Charge and External Magnetic Field
title_full Dynamics of Charged Particles Moving around Kerr Black Hole with Inductive Charge and External Magnetic Field
title_fullStr Dynamics of Charged Particles Moving around Kerr Black Hole with Inductive Charge and External Magnetic Field
title_full_unstemmed Dynamics of Charged Particles Moving around Kerr Black Hole with Inductive Charge and External Magnetic Field
title_sort dynamics of charged particles moving around kerr black hole with inductive charge and external magnetic field
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/7b49ea0a1f004c05a79987def36450c7
work_keys_str_mv AT xinsun dynamicsofchargedparticlesmovingaroundkerrblackholewithinductivechargeandexternalmagneticfield
AT xinwu dynamicsofchargedparticlesmovingaroundkerrblackholewithinductivechargeandexternalmagneticfield
AT yuwang dynamicsofchargedparticlesmovingaroundkerrblackholewithinductivechargeandexternalmagneticfield
AT chendeng dynamicsofchargedparticlesmovingaroundkerrblackholewithinductivechargeandexternalmagneticfield
AT baorongliu dynamicsofchargedparticlesmovingaroundkerrblackholewithinductivechargeandexternalmagneticfield
AT enweiliang dynamicsofchargedparticlesmovingaroundkerrblackholewithinductivechargeandexternalmagneticfield
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