Motion of test particles in a regular black hole space--time

TL;DR

This paper analyzes the trajectories of neutral and weakly charged test particles in a specific regular black hole spacetime, providing analytical solutions and examining orbital shifts due to charge effects.

Contribution

It offers the first complete set of orbital solutions for this regular black hole spacetime, including analytical forms and charge-related orbital shifts.

Findings

Derived analytical solutions for particle orbits.

Discussed the complete set of orbits including extreme cases.

Analyzed the periastron shift with charge effects.

Abstract

We consider the motion of test particles in the regular black hole space-time given by Ay\'{o}n-Beato and Garc\'{\i}a in Phys. Rev. Lett. 80:5056 (1998). The complete set of orbits for neutral and weakly charged test particles is discussed, including for neutral particles the extreme and over-extreme metric. We also derive the analytical solutions for the equation of motion of neutral test particles in a parametric form and consider a post-Schwarzschild expansion of the periastron shift to second order in the charge.