### 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 S O (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 remaining ones are functionally independent.

Original language | English |
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Pages (from-to) | 12-17 |

Number of pages | 6 |

Journal | Journal of Geometry and Physics |

Volume | 83 |

DOIs | |

Publication status | Published - 2014 |

### Fingerprint

### Keywords

- Kerr space-time
- Killing tensors
- Near horizon black holes

### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Geometry and Topology

### Cite this

**Reducibility of Killing tensors in d > 4 NHEK geometry.** / Chernyavsky, Dmitry.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Reducibility of Killing tensors in d > 4 NHEK geometry

AU - Chernyavsky, Dmitry

PY - 2014

Y1 - 2014

N2 - 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 S O (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 remaining ones are functionally independent.

AB - 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 S O (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 remaining ones are functionally independent.

KW - Kerr space-time

KW - Killing tensors

KW - Near horizon black holes

UR - http://www.scopus.com/inward/record.url?scp=84901456095&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84901456095&partnerID=8YFLogxK

U2 - 10.1016/j.geomphys.2014.03.013

DO - 10.1016/j.geomphys.2014.03.013

M3 - Article

VL - 83

SP - 12

EP - 17

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

SN - 0393-0440

ER -