Eur. Phys. J. C (2014) 74: 3210
https://doi.org/10.1140/epjc/s10052-014-3210-y

Regular Article - Theoretical Physics

Dynamics of a charged particle around a slowly rotating Kerr black hole immersed in magnetic field

¹ School of Natural Sciences (SNS), National University of Science and Technology (NUST), H-12, Islamabad, Pakistan
² School of Electrical Engineering and Computer Science (SEECS), National University of Sciences and Technology (NUST), H-12, Islamabad, Pakistan

^* e-mail: mjamil@sns.nust.edu.pk

Received: 8 August 2014
Accepted: 28 November 2014
Published online: 13 December 2014

Abstract

The dynamics of a charged particle moving around a slowly rotating Kerr black hole in the presence of an external magnetic field is investigated. We are interested in exploring the conditions under which the charged particle can escape from the gravitational field of the black hole after colliding with another particle. The escape velocity of the charged particle in the innermost stable circular orbit is calculated. The effective potential and escape velocity of the charged particle with angular momentum in the presence of the magnetic field is analyzed. This work serves as an extension of a preceding paper dealing with the Schwarzschild black hole (Zahrani et al., Phys Rev D 87:084043, 2013).