Circular orbits of Charged Particles around a Weakly Charged and Magnetized Schwarzschild Black Hole

TL;DR

This paper investigates the effects of weak electromagnetic fields on charged particle orbits around a weakly charged, magnetized Schwarzschild black hole, revealing unique stable orbit configurations and potential astrophysical implications.

Contribution

It introduces a detailed analysis of charged particle orbits in combined weak electromagnetic fields around Schwarzschild black holes, highlighting new stable orbit phenomena.

Findings

Negative energy stable circular orbits are possible.

Existence of two separate bands of stable charged particle orbits.

A gap of no stable circular orbits between the bands.

Abstract

We study the circular orbits of charged particles around a weakly charged Schwarzschild black hole immersed in a weak, axisymmetric magnetic field. We start by reviewing the circular orbits of neutral particles and charged particles around only weakly charged and only weakly magnetized black holes. The case of a weakly magnetized and charged black hole is investigated then. In particular, we study the effect of the electromagnetic forces on the charged particles innermost stable circular orbits. We show that negative energy stable circular orbits are possible and that two bands of charged particles circular orbits, separated by a gap of no stable circular orbits can exist. The astrophysical aspects of our findings are discussed too.