Abstract
The integrability conditions for the existence of Killing-Yano tensors or, equivalently, covariantly closed conformal Killing-Yano tensors, in the presence of torsion are worked out. As an application, all metrics and torsions compatible with the existence of a Killing-Yano tensor of order are obtained. Finally, the issue of defining a maximally symmetric space with respect to connections with torsion is addressed.
- Received 18 February 2015
DOI:https://doi.org/10.1103/PhysRevD.91.084036
© 2015 American Physical Society