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Non-existence of f-symbols in generalized Taub-NUT spacetimes

Ion I. Cotăescu·Mihai Visinescu
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Abstract

In a previous article it was proved that the extensions of the Taub-NUT geometry do not admit Killing-Yano tensors, even if they possess St\" {a}ckel-Killing tensors. Here the analysis is taken further, and it is shown that, in general, this class of metrics does not even admit f-symbols. The only exception is the original Taub-NUT metric which possesses four Killing-Yano tensors of valence two.

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Ion I. Cotăescu, Mihai Visinescu. 2001-07-10. Non-existence of f-symbols in generalized Taub-NUT spacetimes. https://doi.org/10.1088/0305-4470%2F34%2F33%2F310

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