Properties of Particle Trajectory Around a Weakly Magnetized Black Hole

TL;DR

This paper investigates particle trajectories around a regular, charged, accelerating AdS black hole with a cosmic string, analyzing escape velocities, effective potentials, and forces to understand particle dynamics in such spacetimes.

Contribution

It introduces a detailed analysis of particle motion, including escape velocities and effective potentials, around a novel regular black hole with nonlinear electromagnetic sources and cosmic string effects.

Findings

Escape velocity varies with horizon radius and parameters.

Effective potential and force profiles are characterized.

Range of horizon radii with positive effective force identified.

Abstract

In this paper, we consider charged accelerating AdS black holes with nonlinear electromagnetic source. The metric chosen by us is of a regular black hole which shows regular nature at poles and a conical effect which corresponds to a cosmic string. In such a space time construction of the Lagrangian for a charged particle is done. Cyclic coordinates as well as the corresponding symmetry generators, i.e., the Killing vectors are found. Conservation laws corresponding to the symmetries are counted. Euler Lagrange equations are found. The orbit is mainly taken to be a circular one and effective potential is found. The minimum velocity obtained by a particle to escape from innermost stable circular orbit is found. The values of this escape velocity is plotted with respect to the radius of the event horizon of the central black hole for different parametric values. The nature of the escape velocity is studied when the central object is working with gravitational force and charge simultaneously. Effective potential and effective force are also plotted. The range of radius of event horizon for which the effective force turns to be positive is found out. A pathway of future studies of accretion disc around such black holes is made.