Constants of Geodesic Motion in Higher-Dimensional Black-Hole Spacetimes
arXiv:0707.0001 · doi:10.1103/PhysRevD.76.084034
Abstract
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.
arXiv comment8 pages, no figures
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