The geodesic structure of the Schwarzschild Anti-de Sitter black hole

TL;DR

This paper analyzes the geodesic structure of Schwarzschild Anti-de Sitter black holes, revealing new types of particle and photon trajectories through detailed potential analysis and visualization.

Contribution

It provides the first detailed analysis of geodesic motions in Schwarzschild Anti-de Sitter spacetime, identifying novel orbit types not present in Schwarzschild black holes.

Findings

Identified all possible particle and photon trajectories in AdS black hole spacetime.

Discovered new orbit types unique to Schwarzschild Anti-de Sitter black holes.

Visualized geodesic motions through plotted trajectories.

Abstract

In the present work we found the geodesic structure of an AdS black hole. By means of a detailed analyze of the corresponding effective potentials for particles and photon, we found all the possible motions which are allowed by the energy levels. Radial and non radial trajectories were exactly evaluated for both geodesics. The founded orbits were plotted in order to have a direct visualization of the allowed motions. We show that the geodesic structure of this black hole presents new type of motions not allowed by the Schwarzschild spacetime.