Geodesic motion in equal angular momenta Myers-Perry-AdS spacetimes

Understand

We study the geodesic motion of massive and massless test particles in the background of equally spinning Myers-Perry-anti-de Sitter (AdS) black holes in five dimensions.

• By adopting a coordinate system that makes manifest the cohomogeneity-1 property of these spacetimes, the equations of motion simplify considerably.
• This allows us to easily separate the radial motion from the angular part and to obtain solutions for angular trajectories in a compact closed form.
• For the radial motion we focus our attention on spherical orbits.