2015
DOI: 10.1088/0264-9381/32/16/165009
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Quasi-harmonic oscillatory motion of charged particles around a Schwarzschild black hole immersed in a uniform magnetic field

Abstract: In order to test the role of large-scale magnetic fields in quasiperiodic oscillation phenomena observed in microquasars, we study oscillatory motion of charged particles in vicinity of a Schwarzschild black hole immersed into an external asymptotically uniform magnetic field. We determine the fundamental frequencies of small harmonic oscillations of charged test particles around stable circular orbits in the equatorial plane of a magnetized black hole, and discuss the radial profiles of frequencies of the rad… Show more

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Cited by 155 publications
(167 citation statements)
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“…The properties of the effective potential V eff (r, θ; a, L, B) (25) related to the motion in the combined field of Kerr black holes and the asymptotically uniform magnetic field were already explored in [35], and in the simpler case of Schwarzschild black holes in [29]. Since the general form of the effective potential V eff (r, θ; a, L, B) is quite complex, we discuss here only the properties relevant for the purposes of the present paper.…”
Section: Hamiltonian Formalism and Reduction To The Two-dimensional Dmentioning
confidence: 99%
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“…The properties of the effective potential V eff (r, θ; a, L, B) (25) related to the motion in the combined field of Kerr black holes and the asymptotically uniform magnetic field were already explored in [35], and in the simpler case of Schwarzschild black holes in [29]. Since the general form of the effective potential V eff (r, θ; a, L, B) is quite complex, we discuss here only the properties relevant for the purposes of the present paper.…”
Section: Hamiltonian Formalism and Reduction To The Two-dimensional Dmentioning
confidence: 99%
“…For covering both minus and plus magnetic field configurations we will be using negative B < 0 and positive B > 0 values of the parameter B. For details see [29]. The stationary points of the effective potential V eff (r, θ; a, L, B), governing circular orbits of the charged test particles, are determined by the conditions…”
Section: Hamiltonian Formalism and Reduction To The Two-dimensional Dmentioning
confidence: 99%
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