Abstract
We explicitly exhibit constants of motion for geodesics in the general -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 ()-dimensional Killing-Yano tensor. These constants of motion are functionally independent of each other and of the constants of motion that arise from the metric and the Killing vectors, making a total of independent constants of motion in all dimensions . The Poisson brackets of all pairs of these constants are zero, so geodesic motion in these spacetimes is completely integrable.
- Received 9 November 2006
DOI:https://doi.org/10.1103/PhysRevLett.98.061102
©2007 American Physical Society