Constants of Geodesic Motion in Higher-Dimensional Black-Hole Spacetimes

Understand

In [arXiv:hep-th/0611083] we announced the complete integrability of geodesic motion in the general higher-dimensional rotating black-hole spacetimes.

• In the present paper we prove all the necessary steps leading to this conclusion.
• In particular, we demonstrate the independence of the constants of motion and the fact that they Poisson commute.
• The relation to a different set of constants of motion constructed in [arXiv:hep-th/0612029] is also briefly discussed.