title: Complete integrability of geodesic motion in general higher-dimensional rotating black-hole spacetimes.
abstract: We explicitly exhibit n-1=[D/2]-1 constants of motion for geodesics in the general D-dimensional Kerr-NUT-AdS rotating black hole spacetime, arising from contractions of even powers of the 2-form obtained by contracting the geodesic velocity with the dual of the contraction of the velocity with the (D-2)-dimensional Killing-Yano tensor. These constants of motion are functionally independent of each other and of the D-n+1 constants of motion that arise from the metric and the D-n=[(D+1)/2] Killing vectors, making a total of D independent constants of motion in all dimensions D. The Poisson brackets of all pairs of these D constants are zero, so geodesic motion in these spacetimes is completely integrable.
authors.affiliation: Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, Canada.
authors.forename: Don N
authors.initials: DN
authors.lastname: Page
authors.forename: David
authors.initials: D
authors.lastname: Kubiznák
authors.forename: Muraari
authors.initials: M
authors.lastname: Vasudevan
authors.forename: Pavel
authors.initials: P
authors.lastname: Krtous