Circular orbit frequencies of a charged particle around a weakly magnetized rotating black hole

Abstract

We investigate the orbital frequencies of circular non-geodesic orbits of a charged particle in the equatorial plane of a weakly magnetized Kerr black hole. For future-directed prograde orbits, isofrequency pairs of orbits with different radii are found to occur when the orbital motions of the charged particles are oppositely aligned to their azimuthal angular momentum L > 0. The number of isofrequency is numerically observed to increase with both the magnetic field parameter and black hole's spin.