Irreducible Killing Tensors from Third Rank Killing-Yano Tensors

Details Irreducible Killing Tensors from Third Rank Killing-Yano Tensors Irreducible Killing Tensors from Third Rank Killing-Yano Tensors

2006-12-30

arxiv.org/abs/gr-qc/0701005v1

Mod.Phys.Lett.A22:1309-1318,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages

Scientific paper

10.1142/S0217732307023559

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.

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