Quasiharmonic oscillations of charged particles in static axially symmetric space-times immersed in a uniform magnetic field
Carlos A. Benavides-GallegoCenter for Field Theory and Particle Physics and Department of Physics, Fudan University, 200438 Shanghai, ChinaAhmadjon AbdujabbarovInstitute of Nuclear Physics, Tashkent 100214, UzbekistanDaniele MalafarinaDepartment of Physics, Nazarbayev University, 53 Kabanbay Batyr avenue, 010000 Nur-Sultan, KazakhstanCosimo BambiCenter for Field Theory and Particle Physics and Department of Physics, Fudan University, 200438 Shanghai, China
ABI
Abstract
In continuation of our previous study [C. A. Benavides-Gallego, A. Abdujabbarov, D. Malafarina, B. Ahmedov, and C. Bambi, Phys. Rev. D 99, 044012 (2019)], we investigate the motion of charged particles in the $\ensuremath{\gamma}$-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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