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Constants of geodesic motion in higher-dimensional black-hole spacetimes
Phys. Rev. D 76, 084034 – Published 25 October, 2007
DOI: https://doi.org/10.1103/PhysRevD.76.084034
Abstract
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. 02 (2007) 004] is also briefly discussed.
See Also
Electromagnetic field in higher-dimensional black-hole spacetimes
Phys. Rev. D 76, 084035 (2007)
Conformal Killing-Yano tensors for the Plebański-Demiański family of solutions
Phys. Rev. D 76, 084036 (2007)
Article Text
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