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arXiv · 0707.0001

Constants of Geodesic Motion in Higher-Dimensional Black-Hole Spacetimes

Pavel Krtous·David Kubiznak·Don N. Page·Muraari Vasudevan
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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.

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Pavel Krtous, David Kubiznak, Don N. Page, Muraari Vasudevan. 2007-06-29. Constants of Geodesic Motion in Higher-Dimensional Black-Hole Spacetimes. https://doi.org/10.1103/physrevd.76.084034

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