Non-existence of \(f\)-symbols in generalized Taub-NUT spacetimes (Q2766174)

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scientific article; zbMATH DE number 1695629
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Non-existence of \(f\)-symbols in generalized Taub-NUT spacetimes
scientific article; zbMATH DE number 1695629

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    27 January 2002
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    Taub-NUT metric
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    Killing vectors
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    Killing-Yano tensor
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    Stäckel-Killing tensors
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    \(f\)-symbols
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    Non-existence of \(f\)-symbols in generalized Taub-NUT spacetimes (English)
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    The authors discuss the generalized Taub-NUT metric, which is of physical interest as a type of generalization of the Kepler problem. The Killing vectors and the constants of motion are reviewed. In addition it is proven that if the extended Taub-NUT metrics posses a Stäckel-Killing tensor there exists no \(f\)-symbols in this class of metrics.
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