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

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

2001-05-21

arxiv.org/abs/hep-th/0105201v2

J.Phys.A34:6459-6464,2001

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, latex, no figures; minor corrections; version to appear in J.Phys.A: Math.Gen

Scientific paper

10.1088/0305-4470/34/33/310

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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