Geodesic Motions near a Five-dimensional Reissner–Nordström Anti-de Sitter black hole

We have studied the geodesics of neutral particles near a non-rotating, charged five-dimensional Reissner–Nordström Anti-de Sitter black hole using the effective potential analysis and the dynamical systems analysis. The effective potential analysis is used to determine the location of the horizon and to study radial and circular trajectories. The dynamical systems method is used to determine the stability and the fixed points of the phase trajectories.