Charged Particles Orbiting a Magnetized Black Hole Immersed in Quintessential Matter

TL;DR

This paper introduces an exact solution for a magnetized black hole in quintessence, analyzing charged particle dynamics and trajectories near stable orbits using perturbative methods.

Contribution

It presents a new exact magnetized black hole solution in quintessence and studies charged particle motion, including approximate solutions for perturbed circular orbits.

Findings

Different types of particle trajectories are discussed.

Perturbative analysis of small oscillations near stable orbits.

Trajectory shape depends on gravitational and quintessence forces.

Abstract

A new exact magnetized solution describing a Kiselev black hole immersed in a magnetic field is used for studying the dynamics of charged particles. Different types of trajectories are discussed. In the particular case of a weak magnetic field, we employ a first-order perturbative approach to analyze the perturbed circular orbits near the minimum of the effective potential. We obtain an approximate solution for the bounded equatorial trajectory subjected to small radial and latitudinal oscillations. The shape of the trajectory localized near the stable circular orbit depends on the relation between the attractive gravitational force and the repulsive quintessence contribution.