Hidden Symmetries of Higher-Dimensional Black Hole Spacetimes

Details Hidden Symmetries of Higher-Dimensional Black Hole Spacetimes Hidden Symmetries of Higher-Dimensional Black Hole Spacetimes

2007-12-26

arxiv.org/abs/0712.4157v1

Prog.Theor.Phys.Suppl.172:210-219,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, Prepared for the Proceedings of the ICGA8 conference

Scientific paper

10.1143/PTPS.172.210

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 non-degenerate conformal Killing-Yano 2-form) allows one to generate a `tower' of Killing-Yano and Killing tensors responcible for hidden symmetries. These symmetries imply complete integrability of geodesic equations and the complete separation of variables in the Hamilton-Jacobi, Klein-Gordon and Dirac equations in the general Kerr-NUT-(A)dS metrics.

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