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- W2113019785 abstract "From the metric and one Killing-Yano tensor of rank D-2 in any D-dimensional spacetime with such a principal Killing-Yano tensor, we show how to generate k=[(D+1)/2] Killing-Yano tensors, of rank D-2j for all j=0,...,k-1, and k rank-2 Killing tensors, giving k constants of geodesic motion that are in involution. For the example of the Kerr-NUT-AdS spacetime (hep-th/0604125) with its principal Killing-Yano tensor (gr-qc/0610144), these constants and the constants from the k Killing vectors give D independent constants in involution, making the geodesic motion completely integrable (hep-th/0611083). The constants of motion are also related to the constants recently obtained in the separation of the Hamilton-Jacobi and Klein-Gordon equations (hep-th/0611245)." @default.
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- W2113019785 date "2007-02-01" @default.
- W2113019785 modified "2023-09-24" @default.
- W2113019785 title "Killing-Yano tensors, rank-2 Killing tensors, and conserved quantities in higher dimensions" @default.
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- W2113019785 doi "https://doi.org/10.1088/1126-6708/2007/02/004" @default.
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