Chaotic motion of neutral and charged particles in a magnetized Ernst-Schwarzschild spacetime

Li, Dan; Wu, Xiaoxia

doi:10.1140/epjp/i2019-12502-9

“…This is investigated completely at the classical way. There have been studies in this direction [3][4][5][6][7][8][9][10][11][12][13] in presence of perturbation, either externally or internally due to change of any black hole parameter. These calculations are performed mainly based on either Newtonian approximation [4,5] or effective potential technique [3,[6][7][8]11].…”

Section: Introductionmentioning

confidence: 99%

“…These calculations are performed mainly based on either Newtonian approximation [4,5] or effective potential technique [3,[6][7][8]11]. Moreover, black hole system is either spinning [11] or mag- * suroj176121013@iitg.ac.in † bibhas.majhi@iitg.ac.in ‡ pankaj.mishra@iitg.ac.in netized [12] with the massive, charged or spinning test particles [9,10]. There is a recent analysis [13] that considers the effect of Schwarzschild black hole on a massive test particle in presence of harmonic potentials as perturbation.…”

Section: Introductionmentioning

confidence: 99%

Presence of horizon makes particle motion chaotic

Dalui

¹

,

Majhi

²

,

Mishra

³

2019

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We analyze the motion of a massless and chargeless particle very near to the event horizon. It reveals that the radial motion has exponential growing nature which indicates that there is a possibility of inducing chaos in the particle motion of an integrable system when it comes under the influence of the horizon. This is being confirmed by investigating the Poincaré section of the trajectories with the introduction of a harmonic trap to confine the particle's motion. Two situations are investigated: (a) any static, spherically symmetric black hole and, (b) spacetime represents a stationary, axisymmetric black hole (e.g., Kerr metric). In both cases, the largest Lyapunov exponent has upper bound which is the surface gravity of the horizon. We find that the inclusion of rotation in the spacetime introduces more chaotic fluctuations in the system. The possible implications are finally discussed.

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“…The stable circular and chaotic motions of neutral particles [50], the dynamics and quasiharmonic oscillations of charged particles around static and rotating black holes immersed in external asypmtotically uniform magnetic fields [51][52][53][54][55] and plasma magnetosphere surrounding black holes in different gravity models have been analyzed in detail by the authors of Refs. [56][57][58][59][60] in particular using the method of the Lyapunov to show the difference between regular and chaotic orbits. It is also shown that even a small misalignment and frame dragging effects cause a reduction of the chaotic motion.…”

Section: Introductionmentioning

confidence: 99%

“…Periodic circular orbits, regular orbits and chaotic orbits of neutral and charged particles around various black holes have been investigated in Refs. [56][57][58][59][60]124,125]. The magnetic dipole motion around a black hole in the presence of an asymptotically uniform magnetic field has been studied in [126,127] with further development to the case of modified gravity theories in [43][44][45]49,[128][129][130][131][132][133][134][135].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of charged particles and magnetic dipoles around magnetized quasi-Schwarzschild black holes

Narzilloev

¹

,

Rayimbaev

²

,

Abdujabbarov

³

et al. 2021

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In the present paper, we have investigated the motion of charged particles together with magnetic dipoles to determine how well the spacetime deviation parameter $$\epsilon $$ ϵ and external uniform magnetic field can mimic the spin of a rotating Kerr black hole. Investigation of charged particle motion has shown that the deviation parameter $$\epsilon $$ ϵ in the absence of an external magnetic fields can mimic the rotation parameter of the Kerr spacetime up to $$a/M \approx 0.5$$ a / M ≈ 0.5 . The combination of an external magnetic field and deviation parameter can do even a better job mimicking the rotation parameter up to $$a/M\simeq 0.93$$ a / M ≃ 0.93 , which corresponds to the rapidly rotating case. Study of the dynamics of the magnetic dipoles around quasi-Schwarzschild black holes in the external magnetic field has shown that there are degeneracy values of the ISCO radius of test particles at $$\epsilon _{cr}>\epsilon \ge 0.35$$ ϵ cr > ϵ ≥ 0.35 which may lead to two different values of the innermost stable circular orbit (ISCO) radius. When the deviation parameter is in the range of $$\epsilon \in (-1,\ 1)$$ ϵ ∈ ( - 1 , 1 ) , it can mimic the spin of a rotating Kerr black hole in the range $$a/M \in (0.0537, \ 0.3952)$$ a / M ∈ ( 0.0537 , 0.3952 ) for magnetic dipoles with values of the magnetic coupling parameter $$\beta \in [-0.25,\ 0.25]$$ β ∈ [ - 0.25 , 0.25 ] in corotating orbits.

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“…In order to ensure that the dynamical system of particle is non-integrable and study further its chaotic behavior, we must resort to some spacetimes with complex geometrical structures or introduce some extra interactions. In this way, the chaotic orbits of particle have been investigated in the perturbed Schwarzschild spacetime [6,7], or in multi-black hole spacetimes [8,9] , or in the spacetime of a black hole immersed in a magnetic field [10,11], or in the accelerating and rotating black hole spacetime [12], or in the background of a non-standard rotating black hole [13][14][15][16][17]. Moreover, chaotic behaviors of ring strings have been found in Schwarzschild black hole spacetime [18], and in the AdS black hole spacetimes [19,20].…”

Section: Introductionmentioning

confidence: 99%

Chaotic motion of scalar particle coupling to Chern–Simons invariant in Kerr black hole spacetime

Zhou

¹

,

Chen

²

,

Jing

³

2021

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We present firstly the equation of motion for the test scalar particle coupling to the Chern–Simons invariant in Kerr black hole spacetime by the short-wave approximation. We have analyzed the dynamical behaviors of the test coupled particles by applying techniques including Poincaré sections, fast Lyapunov exponent indicator, bifurcation diagram and basins of attraction. It is shown that there exists chaotic phenomenon in the motion of scalar particle interacted with the Chern–Simons invariant in a Kerr black hole spacetime. With the increase of the coupling strength, the motion of the coupled particles for the chosen parameters first undergoes a series of transitions betweens chaotic motion and regular motion and then falls into horizon or escapes to spatial infinity. Thus, the coupling between scalar particle and Chern–Simons invariant yields the richer dynamical behavior of scalar particle in a Kerr black hole spacetime.

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Chaotic motion of neutral and charged particles in a magnetized Ernst-Schwarzschild spacetime

Cited by 54 publications

References 56 publications

Presence of horizon makes particle motion chaotic

Presence of horizon makes particle motion chaotic

Dynamics of charged particles and magnetic dipoles around magnetized quasi-Schwarzschild black holes

Chaotic motion of scalar particle coupling to Chern–Simons invariant in Kerr black hole spacetime

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