Orbits in the Field of a Gravitating Magnetic Monopole

TL;DR

This paper investigates how the gravitational field of a regular magnetic monopole affects the orbits of particles and light, revealing critical parameter values that lead to singular space-time behaviors.

Contribution

It systematically analyzes the geodesics in the space-time of a magnetic monopole, highlighting the impact of parameter-dependent singularities on orbits.

Findings

Critical parameter values induce singularities in the metric.

Orbits are significantly altered near these critical points.

The study enhances understanding of monopole space-time structures.

Abstract

Orbits of test particles and light rays are an important tool to study the properties of space-time metrics. Here we systematically study the properties of the gravitational field of a globally regular magnetic monopole in terms of the geodesics of test particles and light. The gravitational field depends on two dimensionless parameters, defined as ratios of the characteristic mass scales present. For critical values of these parameters the resulting metric coefficients develop a singular behavior, which has profound influence on the properties of the resulting space-time and which is clearly reflected in the orbits of the test particles and light rays.