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SUMMARY:Hidden symmetries of higher-dimensional rotating black holes. - Da
 vid Kubiznak (DAMTP\, University of Cambridge)
DTSTART:20081024T120000Z
DTEND:20081024T130000Z
UID:TALK14353@talks.cam.ac.uk
CONTACT:Dr H K Kunduri
DESCRIPTION:The 4D rotating black hole described by the Kerr geometry\npos
 sesses many of what was called by Chandrasekhar "miraculous" properties.\n
 Most of them can be related to the existence of a fundamental hidden\nsymm
 etry called the principal conformal Killing-Yano (PCKY) tensor. In my\ntal
 k I shall demonstrate that\, in this context\, four dimensions are not\nex
 ceptional and that the (spherical horizon topology) higher-dimensional\nro
 tating black holes are very similar to their four-dimensional cousins.\nNa
 mely\, I shall present the most general spacetime admitting the PCKY tenso
 r\nand show that is possesses the following properties: 1) It is of the\na
 lgebraic type~D of the higher-dimensional algebraic classification. 2) It\
 nallows a separation of variables for the Hamilton--Jacobi\, Klein--Gordon
 \,\nDirac\, and stationary string equations. 3) The geodesic motion in suc
 h a\nspacetime is completely integrable. The problem of finding\nparallel-
 propagated frames reduces to the set of the first order ordinary\ndifferen
 tial equations. 4) When the Einstein equations with the cosmological\ncons
 tant are imposed the metric becomes the Kerr-NUT-(A)dS spacetime.
LOCATION:Pavilion B Potter Room (B1.19)
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