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

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

2010-09-22

arxiv.org/abs/1009.4388v2

J.Geom.Phys.61:922-926,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages

Scientific paper

10.1016/j.geomphys.2011.01.006

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.

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