Charged particle trajectories in the field of a charge near a Schwarzschild blackhole

Abstract

We consider motion of charged particles in the field of a charge placed near the Schwarzschild balckhole. The electromagnetic field gets modified owing to gravitational field of the blackhole. The system, charge plus the hole, is axisymmetric (no longer spherically symmetric) which poses difficulty in obtaining analytic solutions of equations of motion. However, motion along the axis and circular orbits about the axis of symmetry are duscussed. In view of the asymmetry in charge distribution, a particle will have circular orbits only off the equatorial plane.