Particle Dynamics Around Weakly Magnetized Reissner-Nordstr\"{o}m Black Hole

TL;DR

This paper investigates how magnetic fields influence particle trajectories and stability around Reissner-Nordström black holes, revealing multiple stable regions and altered escape conditions for particles.

Contribution

It introduces a detailed analysis of particle dynamics in a magnetized RN black hole environment, highlighting the impact of magnetic fields on stability and escape velocities.

Findings

Multiple stable regions exist with magnetic fields.

Magnetic fields increase the stability of the innermost stable circular orbit.

Magnetic fields affect the velocity required for particle escape.

Abstract

Considering the geometry of Reissner-Nordstr\"{o}m (RN) black hole immersed in magnetic field we have studied the dynamics of neutral and charged particles. A collision of particles in the inner stable circular orbit is considered and the conditions for the escape of colliding particles from the vicinity of black hole are given. The trajectories of the escaping particle are discussed. Also the velocity required for this escape is calculated. It is observed that there are more than one stable regions if magnetic field is present in the accretion disk of black hole so the stability of ISCO increases in the presence of magnetic field. Effect of magnetic field on the angular motion of neutral and charged particles is observed graphically.