Valeri P Frolov 2009 J. Phys.: Conf. Ser. 189 012015 doi:10.1088/1742-6596/189/1/012015
Valeri P Frolov
Show affiliationsThe paper contains a brief review of recent results on hidden symmetries in higher dimensional black hole spacetimes. We show how the existence of a principal CKY tensor (that is a closed conformal Killing-Yano 2-form) allows one to generate a `tower' of Killing-Yano and Killing tensors responsible for hidden symmetries. These symmetries imply complete integrability of geodesic equations and the complete separation of variables in the Hamilton-Jacobi, Klein-Gordon, Dirac and gravitational perturbation equations in the general Kerr-NUT-(A)dS metrics. Equations of the parallel transport of frames along geodesics in these spacetimes are also integrable.
04.70.-s Physics of black holes
04.20.Gz Spacetime topology, causal structure, spinor structure
Issue 1 (2009)
Valeri P Frolov 2009 J. Phys.: Conf. Ser. 189 012015
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