Dynamics of Particles Around a Schwarzschild-like Black Hole in the Presence of Quintessence and Magnetic Field

TL;DR

This paper studies the motion and stability of particles around a Schwarzschild-like black hole influenced by quintessence dark energy and magnetic fields, analyzing orbits, escape conditions, and energetic collisions.

Contribution

It provides new insights into particle dynamics near black holes considering dark energy and magnetic effects, including ISCO dependence and stability analysis.

Findings

ISCO depends on dark energy and magnetic field parameters

Lyapunov exponent analysis shows stability variations with dark energy presence

Center of mass energy expressions for particle collisions near the horizon

Abstract

We investigate 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 particles due to dark energy and magnetic field in the vicinity of black hole is also discussed.