Charged particle motion in Kerr-Newmann space-times

TL;DR

This paper analyzes the trajectories of charged particles around Kerr-Newman black holes, providing a comprehensive classification and explicit analytical solutions for all orbit types, including those crossing horizons.

Contribution

It offers a complete classification of charged particle orbits in Kerr-Newman spacetime and derives explicit elliptic function solutions for all orbit types.

Findings

Classified all types of charged particle orbits in Kerr-Newman spacetime.

Derived explicit solutions using elliptic functions for all orbit types.

Included orbits crossing horizons and at r=0.

Abstract

The motion of charged test-particles in the gravitational field of a rotating and electromagnetically charged black hole as described by the Kerr-Newman metric is considered. We completely classify the colatitudinal and radial motion on the extended manifold $-\infty \leq r \leq \infty$, including orbits crossing the horizons or $r=0$. Analytical solutions of the equations of motion in terms of elliptic functions are presented which are valid for all types of orbits.