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The aim of the present article is to evaluate the motion of charged testparticles in the vicinity of a near-extremal rotating black hole in thepresence of magnetic fields. Euler-Lagrange motion equations and effectivepotential methods are used to characterize the motion out of the equatorialplane. Such approach is of peculiar significance if it is considered, e.g.,accretion processes onto rotating black holes. In general investigationsconcerning accretion focus mostly on the simplest case of particles moving inthe equatorial plane. Here it will be considered that particles initiallymoving around some particular orbit may be perturbed by a kick along the$\theta$ direction, giving rise to other possible orbits. We confirm thepossibility that ultra high energy cosmic rays would be produced at the verycenter of AGNs, for a specific range of magnetic field magnitudes, since it ispossible that ultra-high center-of-mass energies can be produced by particlescolliding near the horizon of fastly rotating black holes.

Acceleration of charged particles from near-extremal rotating black holes embedded in magnetic fields