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Determines the electric and magnetic self-field of a point charge at rest on the symmetry axis of the Kerr space-time in the coordinate system in which the metric describes locally a constant, static and homogeneous gravitational field. The result differs from that of a uniformly accelerated point charge in Minkowski space-time because of the influence of global boundary conditions. It follows that one can determine the induced self-force on the point charge.
Léauté et al. (Tue,) studied this question.