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

Abstract

In this paper the motion of charged and uncharged test particles in the rotating nonlinearly charged black hole (BH) 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 nonlinear electrodynamics 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, and the presence of the nonlinear electromagnetic field increases the curvature producing bounded orbits closer to the horizon.