# Particle Dynamics Near Kerr-MOG Black Hole

## TL;DR

This paper investigates the behavior of neutral and charged particles near a Kerr-MOG black hole, analyzing stability, escape conditions, and collision energies, highlighting the influence of magnetic fields and modified gravity parameters.

## Contribution

It provides a detailed analysis of particle dynamics in Kerr-MOG black holes, including stability, escape conditions, and energy, comparing with other black hole models and emphasizing effects of magnetic fields and modified gravity.

## Key findings

- Magnetic field and spin significantly affect particle orbits.
- Particle collision energies are influenced by black hole parameters.
- Stability conditions differ from those in Kerr and Schwarzschild black holes.

## Abstract

This paper explores the dynamics of both neutral as well as charged particles orbiting near a rotating black hole in scalar-tensor-vector gravity. We study the conditions for the particle to escape at the innermost stable circular orbit. We investigate stability of orbits through effective potential and Lyapunov exponent in the presence of magnetic field. The effective force acting on particle is also discussed. We also study the center of mass energy of particle collision near the horizon of this black hole. Finally, we compare our results with the particle motion around Schwarzschild, Kerr and Schwarzschild-MOG black holes. It is concluded that the external magnetic field, spin parameter as well as dimensionless parameter of the theory have strong effects on particle dynamics in modified gravity.