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

In this work, we find the geodesic structure of an AdS black hole. By means of a detailed analysis of the corresponding effective potentials for particles and photons, we find all possible motions which are allowed by the energy levels. Radial and non-radial trajectories were exactly evaluated for both geodesics. The orbits found 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 types of motion not allowed by the Schwarzschild spacetime.