Hidden symmetries and higherdimensional rotating black holes Speaker(s): David Kubiznak
Abstract: The 4D rotating black hole described by the Kerr geometry possesses many of what was called by Chandrasekhar "miraculous" properties. Most of them are related to the existence of a fundamental hidden symmetry of a principal conformal KillingYano (PCKY) tensor. In my talk I shall demonstrate that hidden symmetry of the PCKY tensor plays exceptional role also in higher dimensions. 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 and admits the KerrSchild form 2) It allows a separation of variables for the HamiltonJacobi, KleinGordon, Dirac, and stationary string equations. 3) When the Einstein equations with the cosmological constant are imposed the metric describes the most general known (spherical) KerrNUTAdS black hole spacetime. I will also discuss the generalization of KillingYano symmetries for spacetimes with natural "torsion 3form", such as the black hole of D=5 minimal supergravity, or the KerrSen solution of heterotic string theory, and comment on connection to special Riemannian manifolds admiting Killing spinors.
Date: 23/02/2011  11:00 am
Series: Quantum Fields and Strings
