Generalized Taub-NUT metrics and Killing-Yano tensors

Details Generalized Taub-NUT metrics and Killing-Yano tensors Generalized Taub-NUT metrics and Killing-Yano tensors

1999-11-17

arxiv.org/abs/hep-th/9911126v2

J.Phys.A33:4383-4392,2000

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX. Final version to appear in J.Phys.A:Math.Gen

Scientific paper

10.1088/0305-4470/33/23/312

A necessary condition that a St\"ackel-Killing tensor of valence 2 be the contracted product of a Killing-Yano tensor of valence 2 with itself is re-derived for a Riemannian manifold. This condition is applied to the generalized Euclidean Taub-NUT metrics which admit a Kepler type symmetry. It is shown that in general the St\"ackel-Killing tensors involved in the Runge-Lenz vector cannot be expressed as a product of Killing-Yano tensors. The only exception is the original Taub-NUT metric.

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