Reducibility of Killing tensors in d>4 NHEK geometry
arXiv:1309.1299 · doi:10.1016/j.geomphys.2014.03.013
Abstract
An extremal rotating black hole in arbitrary dimension, along with time translations and rotations, possesses a number of hidden symmetries characterized by the second rank Killing tensors. As is known, in the near horizon limit the isometry group of the metric is enhanced to include the conformal factor SO(2,1). It is demonstrated that for the near horizon extremal Kerr (NHEK) geometry in arbitrary dimension one of the Killing tensors decomposes into a quadratic combination of the Killing vectors corresponding to the conformal group, while the rest is functionally independent.
The version to appear in Journal of Geometry and Physics
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