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

Article

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

Krtouš, P.; Kubizňák, D.; Page, D. N.; Vasudevan, M.

Phys. Rev. D 76, 084034 (2007)

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.

Institute authors

Krtouš, Pavel

Supported by

GACR 202/06/0041 — Contemporary problems of general relativity and gravitation
LC06014 — Centrum teoretické astrofyziky

BibTeX

@article{UTF39,
  author        = {Krtouš, P. and Kubizňák, D. and Page, D. N. and Vasudevan, M.},
  title         = {{Constants of Geodesic Motion in Higher-Dimensional Black-Hole Spacetimes}},
  journal       = {Phys. Rev. D},
  volume        = {76},
  pages         = {084034},
  year          = {2007},
  eprint        = {0707.0002},
  archivePrefix = {arXiv},
}