ar X iv : h ep - t h / 01 05 20 1 v 1 2 1 M ay 2 00 1 Non - existence of f - symbols in generalized Taub - NUT spacetimes
نویسنده
چکیده
In a previous article it was proved that the extensions of the TaubNUT geometry do not admit Killing-Yano tensors, even if they possess Stäckel-Killing tensors. Here the analysis is taken further, and it is shown that, in general, this class of metrics does not even admit fsymbols. The only exception is the original Taub-NUT metric which possesses four Killing-Yano tensors of valence two. 1 Extended Taub-NUT spaces The Euclidean Taub-NUT metric is involved in many modern studies in physics [1, 2]. From the view point of dynamical systems, the geodesic motion in Taub-NUT metric is known to admit a Kepler-type symmetry [3, 4, 5, 6]. One can actually find the so called Runge-Lenz vector as a conserved vector in E-mail: [email protected] E-mail: [email protected]
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