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Quasi-harmonic oscillations of charged particles in static axially symmetric space-times immersed in a uniform magnetic field

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arxiv 2005.07554 v2 pith:CBOQLYCV submitted 2020-05-15 gr-qc

Carlos A. Benavides-Gallego , Ahmadjon Abdujabbarov , Daniele Malafarina , Cosimo Bambi This is my paper
classification gr-qc
keywords equatorialplanechargedfieldmagneticoscillationsparticlestrajectories
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abstract

In continuation of our previous study [Phys. Rev. D 99 (2019) 4, 044012], we investigate the motion of charged particles in the $\gamma$-metric. We provide some examples of curled trajectories in the equatorial plane and escape trajectories outside the equatorial plane. Finally, we consider harmonic oscillations due to small displacements from stable circular orbits on the equatorial plane and compute the epicyclic frequencies for different values of deformation parameter and magnetic field.

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Cited by 1 Pith paper

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  1. Constraining quadrupole deformations with relativistic effects

    gr-qc 2025-06 reject novelty 6.0 of 10

    In the Zipoy-Voorhees spacetime, the Shapiro time delay and the Shirokov oscillation frequencies acquire corrections from the quadrupole deformation parameter q, with the delay correction appearing at first order in q.

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