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

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

2005-04-06

arxiv.org/abs/gr-qc/0504025v1

Phys.Lett. B611 (2005) 34-38

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages

Scientific paper

10.1016/j.physletb.2005.02.047

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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