Publikace ÚTF

Killing-Yano Tensors, Rank-2 Killing Tensors, and Conserved Quantities in Higher Dimensions

Krtouš, P.; Kubizňák, D.; Page, D. N.; Frolov, V. P.

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).
typ:article
journal:J. High Energy Phys.
volume:0702
pages:4
year:2007
month:2
eprint:hep-th/0612029
odkaz:
files:
kyt2kthd-jhep.ps (733.36 kB)
ps file
kyt2kthd-jhep.pdf (215.42 kB)
pdf file

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