Motion of the charged test particle in the spinning nonlinear electromagnetic black hole

TL;DR

This paper investigates the dynamics of charged and uncharged test particles around a rotating black hole with nonlinear electromagnetic fields, revealing unique orbital behaviors and horizon structures distinct from the Kerr-Newman black hole.

Contribution

It introduces analysis of particle motion in a nonlinear electromagnetic black hole, highlighting differences from the linear Kerr-Newman solution, including horizon structure and particle access.

Findings

Enhanced equatorial asymmetry due to NLE field

Forbidden access to poles for charged particles

Additional circular orbits near the external horizon

Abstract

In this paper the motion of charged and uncharged test particles in the rotating nonlinearly charged black hole is examined. Its asymptotics can be de Sitter or anti-de Sitter, depending on the value of the nonlinear parameter; consequently this BH can present one, two or three horizons, the third one being the cosmological horizon in the de Sitter case. Angular and radial test particle motions are analyzed and compared with its linear electromagnetic counterpart, the Kerr-Newman black hole (KN-BH). Several differences arise with the KN-BH, namely, the equatorial asymmetry is enhanced by the NLE field and for charged particles the access to one of the poles is forbidden; besides, a second circular orbit in the neighborhood of the external horizon appears; the presence of the nonlinear electromagnetic field increses the curvature producing bounded orbits closer to the horizon.