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arXiv · hep-th/9911126

Generalized Taub-NUT metrics and Killing-Yano tensors

Mihai Visinescu
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Abstract

A necessary condition that a Stäckel-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 Stäckel-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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Mihai Visinescu. 2000-04-26. Generalized Taub-NUT metrics and Killing-Yano tensors. https://doi.org/10.1088/0305-4470%2F33%2F23%2F312

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