Motion of charged particles around a scalarized black hole in Kaluza-Klein theory

TL;DR

This paper investigates the trajectories of charged particles around a special type of black hole in Kaluza-Klein theory, providing analytical solutions and analyzing their motion through diagrams and potentials.

Contribution

It derives the equations of motion for charged particles in this black hole spacetime and presents their solutions using elliptic and hyperelliptic functions, which is a novel analytical approach.

Findings

Analytical solutions for particle trajectories obtained

Geodesic motions characterized by parametric diagrams

Effective potentials analyzed for particle dynamics

Abstract

In this article we study the geodesic motion of charged particles in the spacetime of an extremal rotating dyonic black hole in Kaluza-Klein theory. We derive the equations of motion and present their analytical solutions in terns of elliptic and hyperelliptic functions. Furthermore, we analyze the geodesic motions with the help of parametric diagrams and effective potentials.