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Preprint . 1999
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Generalized Taub-NUT metrics and Killing-Yano tensors

descriptionPublicationkeyboard_double_arrow_right Article , Part of book or chapter of book , Preprint , Other literature type 02 Jun 2000Embargo end date: 01 Jan 1999Publisher:IOP PublishingJournal:Journal of Physics A: Mathematical and General, volume 33, pages 4,383-4,391 (issn: 0305-4470, eissn: 1361-6447, Copyright policy )
Authors: Visinescu, Mihai;

doi: 10.1088/0305-4470/33/23/312 , 10.1007/978-94-010-0836-5_36 , 10.48550/arxiv.hep-th/9911126

arXiv: hep-th/9911126

Generalized Taub-NUT metrics and Killing-Yano tensors

Abstract

A necessary condition that a St��ckel-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��ckel-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

Keywords

High Energy Physics - Theory, Special Riemannian manifolds (Einstein, Sasakian, etc.), generalized Taub-NUT metrics, Killing-Yano tensor, High Energy Physics - Theory (hep-th), FOS: Physical sciences, Exact solutions to problems in general relativity and gravitational theory, General Relativity and Quantum Cosmology (gr-qc), Applications of global differential geometry to the sciences, General Relativity and Quantum Cosmology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
25
Average
Top 10%
Top 10%
Green