Eur. Phys. J. Plus (2021) 136: 1210
https://doi.org/10.1140/epjp/s13360-021-02194-1

Regular Article

Dynamics of charged particles in the magnetized $\gamma$ spacetime

¹ School of Science, Nanchang University, 330031, Nanchang, China
² School of Civil Engineering and Architecture, Nanchang University, 330031, Nanchang, China

^b huanggq@ncu.edu.cn

Received: 24 March 2021
Accepted: 18 November 2021
Published online: 3 December 2021

Abstract

The $\gamma$ metric describes a non-spinning black hole solution departure from the Schwarzschild spacetime with a real positive deformation parameter $\gamma$. The spacetime itself is non-integrable when the deformation parameter is not 1. When it is immersed in an external uniform magnetic field, the magnetic field exerts an important influence on the dynamics of charged particles around the black hole and causes the dynamics to be more complicated. It is uncovered that the shape of effective potential shifts toward the central object with an increase in positive electromagnetic parameter or deformation parameter $\gamma$, but shifts to the observer at infinity with an increase in the magnitude of negative electromagnetic parameter. Chaos occurs easily when the charged particles are given higher energies than the effective potential. Chaos becomes strong as the deformation parameter or the absolute value of electromagnetic parameter increases.