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

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

2007-06-29

arxiv.org/abs/0707.0001v1

Phys.Rev.D76:084034,2007

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figures

Scientific paper

10.1103/PhysRevD.76.084034

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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