Phys. Rev. D 76, 084034 (2007) [8 pages]Constants of geodesic motion in higher-dimensional black-hole spacetimesReceived 2 July 2007; published 25 October 2007 In [ Phys. Rev. Lett. 98 061102 (2007)], 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 [ J. High Energy Phys. 2007 004 ()] is also briefly discussed. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.76.084034
DOI:
10.1103/PhysRevD.76.084034
PACS:
04.70.Bw, 04.20.Jb, 04.50.+h
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