Abstract We study the dynamics of particles near a charged back hole (BH) in the f ( R , T ) theory of gravity coupled with nonlinear electrodynamics and analyze how the parameters of the BH affect the motion of test particles. We discuss the stability of the circular orbits by employing the effective potential technique. We derive the mathematical expressions for the particle energy and its angular momentum as a function of the BH parameters and study them graphically. We also study the innermost stable circular orbits and the effective force acting on the test particles. The epicyclic oscillations of test particles are examined, and the analytical expressions for the radial frequency, the vertical frequency, and the orbital frequency are obtained. We also discuss the frequency of the periastron precession of particles. We show that the BH parameters have a significant impact on the particle dynamics. We observe that the effective potential increases with increasing charge and angular momentum, and the orbits are more unstable compared with the smaller values of these parameters: as the BH charge or the particle’s angular momentum increases, the particle experiences a greater effective force. However, it is not affected by the BH parameters a and b . We investigate the emission energy as a thermodynamic property of the BH and discuss the evaporation aspects of the BH.
Saleem et al. (Mon,) studied this question.