Timelike geodesics of a modified gravity black hole immersed in an axially symmetric magnetic field

TL;DR

This paper studies the motion of particles around a modified gravity black hole in a magnetic field, analyzing stability, escape conditions, and effects of magnetic fields on particle dynamics.

Contribution

It explores particle dynamics in a scalar-tensor-vector modified gravity black hole immersed in magnetic fields, highlighting increased ISCO stability and particle escape conditions.

Findings

Magnetic field increases ISCO stability.

Particles can approach closer to the black hole due to magnetic effects.

Modified gravity influences particle escape velocities.

Abstract

We investigate the dynamics of a neutral and a charged particle around a black hole in modified gravity immersed in magnetic field. Our focus is on the scalar-tensor-vector theory as modified gravity. We are interested to explore the conditions on the energy of the particle under which it can escape to infinity after collision with another neutral particle in the vicinity of the black hole. We calculate escape velocity of particle orbiting in the innermost stable circular orbit (ISCO) after the collision. We study the effects of modified gravity on the dynamics of particles. Further we discuss how the presence of magnetic field in the vicinity of black hole, effects the motion of the orbiting particle. We show that the stability of ISCO increases due to presence of magnetic field. It is observed that a particle can go arbitrary close to the black hole due to presence of magnetic field. Furthermore ISCO for black hole is more stable as compared with Schwarzschild black hole. We also discuss the Lyapunov exponent and the effective force acting on the particle in the presence of magnetic field.