Irreducible Killing Tensors from Third Rank Killing-Yano Tensors
arXiv:gr-qc/0701005 · doi:10.1142/S0217732307023559
Abstract
We investigate higher rank Killing-Yano tensors showing that third rank Killing-Yano tensors are not always trivial objects being possible to construct irreducible Killing tensors from them. We give as an example the Kimura IIC metric were from two rank Killing-Yano tensors we obtain a reducible Killing tensor and from third rank Killing-Yano tensors we obtain three Killing tensors, one reducible and two irreducible.
10 pages