Gravitational-electromagnetic phase in the Kerr-Newman spacetime

Abstract: We calculate the gravitational-electromagnetic phase for a charged particle in the Kerr-Newman spacetime. The result is applied to an interference experiment, in which the phase differences and the fringe shifts are derived. We find that both the charge of the particle and the charge of the black hole contribute to the gravitational phase difference, for which we give some qualitative explanations. Finally, we extend the results to the case of dyonic particles in the spacetime of a dyonic Kerr-Newman black hole.