No more CKY two-forms in the NHEK

Details No more CKY two-forms in the NHEK No more CKY two-forms in the NHEK

2011-10-18

arxiv.org/abs/1110.3872v2

Class. Quantum Grav. 29 (2012) 045004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

36 pages, 12 pdf figures, v2: minor changes

Scientific paper

10.1088/0264-9381/29/4/045004

We show that in the near-horizon limit of a Kerr-NUT-AdS black hole, the space of conformal Killing-Yano two-forms does not enhance and remains of dimension two. The same holds for an analogous polar limit in the case of extremal NUT charge. We also derive the conformal Killing-Yano $p$-form equation for any background in arbitrary dimension in the form of parallel transport.

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