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Pseudo-Newtonian Potential for Charged Particle in Kerr-Newman Geometry

Rossen I. Ivanov·Emil M. Prodanov
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Abstract

We consider the equatorial circular motion of a test particle of specific charge q/m << 1 in the Kerr-Newman geometry of a rotating charged black hole. We find the particle's conserved energy and conserved projection of the angular momentum on the black hole's axis of rotation as corrections, in leading order of q/m, to the corresponding energy and angular momentum of a neutral particle. We determine the centripetal force acting on the test particle and, consequently, we find a classical pseudo-Newtonian potential with which one can mimic this general relativistic problem.

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Rossen I. Ivanov, Emil M. Prodanov. 2005-04-06. Pseudo-Newtonian Potential for Charged Particle in Kerr-Newman Geometry. https://doi.org/10.1016/j.physletb.2005.02.047

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