Charged Particle Trajectories in a Toroidal Magnetic and Rotation-induced Electric Eld around a Black Hole

Trajectories of charged particle in combined poloidal, toroidal magnetic eld and rotation-induced unipolar electric eld superposed in Schwarzschild background geometry have been investigated extensively in the context of accreting black holes. The main purpose of the paper is to obtain a reasonably well insight on the e ect of spacetime curvature to the electromagnetic eld surrounding black holes. The coupled equations of motion have been solved numerically and the results have been compared with that for at spacetime. It is found that the toroidal magnetic eld dominates the induced electric eld in determining the motion of charged particles in curved spacetime. The combined electromagnetic eld repels a charged particle from the vicinity of a compact massive object and decon nes the particle from its orbit. In the absence of toroidal magnetic eld the particle is trapped in a closed orbit. The major role of gravitation is to reduce the radius of gyration signi cantly while the electric eld provides an additional force perpendicular to the circular orbit. Although the e ect of inertial frame dragging and the e ect of magnetospheric plasma have been neglected, the results provide a reasonably well qualitative picture of the important role played by gravitation in modifying the electromagnetic eld near accreting black holes and hence the results have potentially important implications on the dynamics of the uid and the radiation spectrum associated with accreting black holes.