Generalized Taub-NUT metrics and Killing-Yano tensors
High Energy Physics - Theory
2008-11-26 v2 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9911126,
title = {Generalized Taub-NUT metrics and Killing-Yano tensors},
author = {Mihai Visinescu},
journal= {arXiv preprint arXiv:hep-th/9911126},
year = {2008}
}
Comments
14 pages, LaTeX. Final version to appear in J.Phys.A:Math.Gen