# Motion of magnetically charged particles in a magnetically charged stringy black hole spacetime

## TL;DR

This paper analytically investigates the trajectories of magnetically and electrically charged particles around a magnetically charged stringy black hole, revealing how charges influence bound and unbound orbits and observable effects like perihelion shift.

## Contribution

It provides an analytical solution for particle motion in a magnetically charged black hole spacetime using Weierstrass functions, highlighting the effects of electric and magnetic charges.

## Key findings

- Bound and unbound orbit conditions depend on critical magnetic charges.
- Orbital trajectories are explicitly described using elliptic functions.
- Observable effects such as perihelion shift are analyzed in relation to particle charges.

## Abstract

We study the motion of massive particles with electric and magnetic charges in the background of a magnetically charged Garfinkle-Horowitz-Strominger stringy black hole. We solve analytically the equations of motion of the test particles and we describe the orbital motion in terms of the Weierstrass elliptic functions. We find that there are critical values of the magnetic charge of the black hole and the magnetic charge of the test particle which characterize the bound and unbound orbits and we study two observables, the perihelion shift and the Lense-Thirring effect. The trajectories depend on the electric and magnetic charges of the test particle. While the angular-motion depends on the electric charge of the test particle, the $r$ and $t$-motion depends on the mass and the magnetic charge of the test particle.