Killing-Yano Tensors of Order n-1

Abstract

The properties of a Killing-Yano tensor of order n-1 in an n-dimensional manifold are investigated. The integrability conditions are worked out and all metrics admitting a Killing-Yano tensor of order n-1 are found. It is pointed out a connection between such tensors and a generalization of the concept of angular momentum. A theorem on how to generate closed conformal Killing vectors using the symmetries of a manifold is proved and used to find all Killing-Yano tensors of order n-1 of a maximally symmetric space.

15 pages. Published Version

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Cited by in corpus (7)

• Mass Ladder Operators from Spacetime Conformal Symmetry
• A simple test for spacetime symmetry
• Integrability Conditions for Killing-Yano Tensors and Conformal Killing-Yano Tensors
• New currents with Killing-Yano tensors
• Finsler gravitational waves of $(\alpha ,\beta )$-type and their observational signature
• General first-order mass ladder operators for Klein-Gordon fields
• Integrability Conditions for Killing-Yano Tensors and Maximally Symmetric Spaces in the Presence of Torsion