On hidden symmetries of extremal Kerr-NUT-AdS-dS black holes

Rasmussen, Jorgen (2011) On hidden symmetries of extremal Kerr-NUT-AdS-dS black holes. Journal of Geometry and Physics, 61 5: 922-926. doi:10.1016/j.geomphys.2011.01.006

Author Rasmussen, Jorgen
Title On hidden symmetries of extremal Kerr-NUT-AdS-dS black holes
Journal name Journal of Geometry and Physics   Check publisher's open access policy
ISSN 0393-0440
Publication date 2011-05
Sub-type Article (original research)
DOI 10.1016/j.geomphys.2011.01.006
Volume 61
Issue 5
Start page 922
End page 926
Total pages 5
Place of publication Amsterdam, The Netherlands
Publisher Elsevier
Collection year 2012
Language eng
Formatted abstract
It is well known that the Kerr-NUT-AdS-dS black hole admits two linearly independent Killing vectors and possesses a hidden symmetry generated by a rank-2 Killing tensor. The near-horizon geometry of an extremal Kerr-NUT-AdS-dS black hole admits four linearly independent Killing vectors, and we show how the hidden symmetry of the black hole itself is carried over by means of a modified Killing-Yano potential which is given explicitly. We demonstrate that the corresponding Killing tensor of the near-horizon geometry is reducible as it can be expressed in terms of the Casimir operators formed by the four Killing vectors.
Keyword Black holes
Hidden symmetries
Near-horizon geometry
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
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Citation counts: TR Web of Science Citation Count  Cited 5 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 7 times in Scopus Article | Citations
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Created: Wed, 14 Mar 2012, 11:09:01 EST by Kay Mackie on behalf of School of Mathematics & Physics