Irreducible Killing Tensors from Third Rank Killing-Yano Tensors

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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

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/180291

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0701005
 http://arxiv.org/abs/gr-qc/0701005
 Mod.Phys.Lett.A22:1309-1318,2007
 doi:10.1142/S0217732307023559

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arXiv