Reducibility of Killing tensors in d > 4 NHEK geometry

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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 languageEnglish
Pages (from-to)12-17
Number of pages6
JournalJournal of Geometry and Physics
Volume83
DOIs
Publication statusPublished - 2014

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Keywords

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

ASJC Scopus subject areas

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

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