In a previous work, we studied the equilibrium of a charged test particle placed in the combined gravitational and electromagnetic fields of a Kerr - Newman black hole. Recently, general relativistic analogues of inertial forces have been formulated. In this paper we analyse the inertial and the electromagnetic forces acting on the stationary test particle. This leads to an understanding of the behaviour of these forces as well as the mechanism of equilibrium.
The equilibrium of a charged test particle in the field of the Kerr-Newman metric is studied. It is shown that equilibrium is possible only (i) on the axis, or (ii) in the equatorial plane. Conditions governing equilibrium are obtained. The stability of equilibrium positions against small perturbations are investigated.
The equilibrium of a charged test particle with spin placed in the field of the Kerr - Newman metric is studied. This is an extension of the earlier work which considered a charged test particle without spin. Now, both the stationary equilibrium conditions resulting from the equations of motion and the spin dynamics equations have to be satisfied. Consequently, the criteria for the equilibrium are modified. They are investigated and compared with the results obtained in the spinless case.
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