Abstract

We study the dynamics of test particles around a non-rotating Barrow's nonlinear charged black hole, and examine how the parameters of the model influence particle motion. The black hole is characterized by three parameters, the mass M of the black hole, the charge Q of the black hole, and the parameters α. Using the effective potential approach, we discuss the stability of equatorial circular orbits. We derive the analytical expressions for the energy and angular momentum of test particles as functions of black hole parameters. The innermost stable circular orbits and the effective forces exerted on the particles are also studied. Furthermore, we numerically integrate the equations of motion to examine the particle trajectories. Epicyclic oscillations of test particles near the equatorial plane are explored, and analytical expressions for radial, vertical, and orbital frequencies have also been derived. We also study the frequency of periastron precession. Lastly, we analyze particle collisions near the horizon of the black hole and calculate the center-of-mass energy. Our findings show that the black hole model's parameters significantly impact particle motion, revealing interesting aspects of their dynamics.