Constants of Geodesic Motion in Higher-Dimensional Black-Hole Spacetimes
Krtouš, P.; Kubizňák, D.; Page, D. N.; Vasudevan, M.
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.
| type: | article |
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| journal: | Phys. Rev. D |
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| volume: | 76 |
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| pages: | 084034 |
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| year: | 2007 |
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| eprint: | 0707.0002 |
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| grants: | Contemporary problems of general relativity and gravitation, GAČR 202/06/0041; 2006-2008; hlavní řešitel: Jiří BičákCentrum teoretické astrofyziky, MŠMT ČR LC06014; 2005-2009; hlavní řešitel: Jiří Horáček |
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