Critical escape velocity for a charged particle moving around a weakly magnetized Schwarzschild black hole

TL;DR

This paper investigates the escape conditions for charged particles around a weakly magnetized Schwarzschild black hole, revealing chaotic dynamics near critical velocities and deriving escape velocities at stable orbits.

Contribution

It introduces the concept of critical escape velocity for charged particles in a magnetized black hole spacetime and analyzes the chaotic nature of near-critical particle motion.

Findings

Escape velocity at innermost stable circular orbits derived

Chaotic behavior observed in near-critical velocity motion

Conditions for particle escape identified

Abstract

We discuss charged particles motion in a spacetime of a weakly magnetized static non-rotating black hole. We study under which conditions a charged particle originally revolving around the black hole at a circular orbit after being kicked by another particle or photon can escape to infinity. We determine the escape velocity for particles at the innermost stable circular orbits and discuss the properties of particles moving with near-critical velocity. We show that in a general case such a motion is chaotic.