Reducibility of Killing tensors in NHEK geometry
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- 作者：Dmitry Chernyavsky recnart@list.ru" class="auth_mail
- 关键词：Near horizon black holes ; Killing tensors ; Kerr space&ndash ; time
- 刊名：Journal of Geometry and Physics
- 出版年：September 2014
- 年：2014
- 卷：83
- 期：Complete
- 页码：12-17
- 全文大小：384 K
文摘
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 remaining ones are functionally independent.