Hidden Symmetries and Black Holes

Details Hidden Symmetries and Black Holes Hidden Symmetries and Black Holes

2009-01-11

arxiv.org/abs/0901.1472v1

J.Phys.Conf.Ser.189:012015,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 3 figures. To appear in the proceedings of the NEB-13 conference

Scientific paper

10.1088/1742-6596/189/1/012015

The 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.

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