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Space-Times Admitting Killing-Yano Tensors. I

W. Dietz and R. Rüdiger
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Vol. 375, No. 1762 (Mar. 31, 1981), pp. 361-378
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/2990311
Page Count: 18
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Space-Times Admitting Killing-Yano Tensors. I
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Abstract

This is the first of two papers dealing with Killing-Yano tensors. In this paper, Killing-Yano tensors are classified according to their valence. The cases of valence 1, 3 and 4 are trivial or almost trivial. Canonical line elements of metrics admitting Killing-Yano tensors of valence 2 and rank 4 are derived without any further restrictions. (The case of rank 2 will be treated in part II of this series.) Furthermore, we give a relativistic analogy of the classical Kepler motion in a plane if there is no force component orthogonal to this plane. This analogy demonstrates the way in which a Killing-Yano tensor may be considered as being related to the angular momentum of a particle.

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