Eur. Phys. J. C (2015) 75: 24
https://doi.org/10.1140/epjc/s10052-014-3230-7

Regular Article - Theoretical Physics

Dynamics of particles around a Schwarzschild-like black hole in the presence of quintessence and magnetic field

School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), H-12, Islamabad, Pakistan

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

Received: 11 August 2014
Accepted: 13 December 2014
Published online: 22 January 2015

Abstract

We have investigated the dynamics of a neutral and a charged particle around a static and spherically symmetric black hole in the presence of quintessence matter and external magnetic field. We explore the conditions under which the particle moving around the black hole could escape to infinity after colliding with another particle. The innermost stable circular orbit (ISCO) for the particles are studied in detail. Mainly the dependence of ISCO on dark energy and on the presence of external magnetic field in the vicinity of black hole is discussed. By using the Lyapunov exponent, we compare the stabilities of the orbits of the particles in the presence and absence of dark energy and magnetic field. The expressions for the center of mass energies of the colliding particles near the horizon of the black hole are derived. The effective force on the particle due to dark energy and magnetic field in the vicinity of black hole is also discussed.