Gauss-Bonnet Dyonic Black Holes: geometry, thermodynamics and test particles' trajectories

TL;DR

This paper explores five-dimensional Gauss-Bonnet dyonic black holes, analyzing their thermodynamics, stability, phase transitions, and particle trajectories to understand the influence of higher curvature gravity and magnetic charge.

Contribution

It provides a comprehensive study of black hole thermodynamics and particle motion in Gauss-Bonnet gravity with dyonic charges, highlighting new effects of higher curvature terms.

Findings

Thermal stability varies with parameters.

Phase transitions resemble van der Waals behavior.

Particle trajectories are affected by magnetic charge.

Abstract

In this paper, we investigate a class of $5$-dimensional black holes in the presence of Gauss-Bonnet gravity with dyonic charges. At first step, thermodynamical quantities of the black holes and their behaviors are explored for different limits. Thermal stability and the possibility of the van der Waals like phase transition are addressed and the effects of different parameters on them are investigated. The second part is devoted to simulation of the trajectory of particles around these black holes and investigation of the angular frequency of particles' motion. The main goal is understanding the effects of higher curvature gravity (Gauss-Bonnet gravity) and magnetic charge on the structure of black holes and the geodesic paths of particles moving around these black holes.