Hidden symmetries of higher-dimensional rotating black holes.

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• David Kubiznak (DAMTP, University of Cambridge)
• Friday 24 October 2008, 13:00-14:00
• Pavilion B Potter Room (B1.19).

If you have a question about this talk, please contact Dr H K Kunduri.

The 4D rotating black hole described by the Kerr geometry possesses many of what was called by Chandrasekhar “miraculous” properties. Most of them can be related to the existence of a fundamental hidden symmetry called the principal conformal Killing-Yano (PCKY) tensor. In my talk I shall demonstrate that, in this context, four dimensions are not exceptional and that the (spherical horizon topology) higher-dimensional rotating black holes are very similar to their four-dimensional cousins. Namely, I shall present the most general spacetime admitting the PCKY tensor and show that is possesses the following properties: 1) It is of the algebraic type~D of the higher-dimensional algebraic classification. 2) It allows a separation of variables for the Hamilton—Jacobi, Klein—Gordon, Dirac, and stationary string equations. 3) The geodesic motion in such a spacetime is completely integrable. The problem of finding parallel-propagated frames reduces to the set of the first order ordinary differential equations. 4) When the Einstein equations with the cosmological constant are imposed the metric becomes the Kerr-NUT-(A)dS spacetime.

This talk is part of the DAMTP Friday GR Seminar series.

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