STRUCTURE OF EXTERNAL ELECTROMAGNETIC-FIELD AROUND A SLOWLY ROTATING COMPACT OBJECT AND CHARGED-PARTICLE TRAJECTORIES THEREIN

In this paper we have discussed the trajectories of a charged particle in a dipole magnetic field and quadrupole electric field superposed o n the external space-time of a very slowly rotating mass represented b y a first-order correction to the Schwarzschild geometry. The metric, which is an approximate form of the Hartle-Thorne metric, includes cor rections of the linear order in (omega = 2J/r(3)) only. Trapped bound orbits exist both for co-and contra-rotating particles as evidenced fr om the structure of the potential wells for various combinations of th e physical parameters.