Generalized Taub-NUT metrics and Killing-Yano tensors

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.

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

References in corpus (3)

• Supersymmetric Rotating Black Holes and Causality Violation
• Schrödinger quantum modes on the Taub-NUT background
• Killing-Yano tensors, non-standard supersymmetries and an index theorem

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• Hidden Symmetries for Ellipsoid-Solitonic Deformations of Kerr-Sen Black Holes and Quantum Anomalies
• Gravitational and axial anomalies for generalized Euclidean Taub-NUT metrics
• $L^2$-index of the Dirac operator of generalized Euclidean Taub-NUT metrics
• Dual Metrics and Non-Generic Supersymmetries for a Class of Siklos Spacetimes
• Generalized Dynamics of Two Distict BPS Monopoles
• Covariant Approach of the Dynamics of Particles in External Gauge Fields, Killing Tensors and Quantum Gravitational Anomalies
• Non-existence of f-symbols in generalized Taub-NUT spacetimes
• TCFHs, hidden symmetries and M-theory backgrounds
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