Particle Dynamics in Weakly Charged Extreme Kerr Throat

TL;DR

This paper investigates the motion of weakly charged particles in the extreme Kerr throat, revealing how the Killing tensor simplifies and analyzing special particle and light trajectories.

Contribution

It provides explicit solutions for particle dynamics in the extreme Kerr throat and shows the reducibility of the Killing tensor in this geometry.

Findings

Explicit quadrature solutions for particle motion

Killing tensor becomes reducible in the extreme Kerr throat

Discussion of special particle and light trajectories

Abstract

We study dynamics of a test charged particle moving in a weakly charged extreme Kerr throat. Dynamical equations of the particle motion are solved in quadratures. We show explicitly that the Killing tensor of the Kerr spacetime becomes reducible in the extreme Kerr throat geometry. Special types of motion of particles and light are discussed.