Killing-Yano Tensors of Order n-1
General Relativity and Quantum Cosmology
2014-08-07 v2 High Energy Physics - Theory
Differential Geometry
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.
Keywords
Cite
@article{arxiv.1405.4148,
title = {Killing-Yano Tensors of Order n-1},
author = {Carlos Batista},
journal= {arXiv preprint arXiv:1405.4148},
year = {2014}
}
Comments
15 pages. Published Version