Dynamics of a charged particle around a weakly magnetized naked singularity

TL;DR

This paper investigates the motion, escape conditions, and collision energies of charged particles near a weakly magnetized naked singularity, providing insights into particle dynamics and energy extraction in such extreme gravitational fields.

Contribution

It introduces an analysis of charged particle trajectories, escape velocities, and collision energies around a weakly magnetized naked singularity, highlighting conditions for maximum energy production.

Findings

Escape velocity and energy vary with particle position and magnetic field strength.

Maximum collision energy depends on specific orbital parameters and charge configurations.

Effective potential analysis reveals stable and unstable orbits near the singularity.

Abstract

We examine the motion of a charged particle in the vicinity of a weakly magnetized naked singularity. The escape velocity and energy of the particle moving around the naked singularity after being kicked by another particle or photon are investigated. Also at the innermost stable circular orbit (ISCO) escape velocity and energy are examined. Effective potential and angular momentum of the particle are also discussed. We discuss the center of mass energy after collision between two particles having same mass and opposite charges moving along the same circular orbit in the opposite direction. It is investigated that under what conditions maximum energy can be produced as a result of collision.