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arXiv · 1503.02162

Ricci-flat spacetimes admitting higher rank Killing tensors

Marco Cariglia·Anton Galajinsky
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Abstract

Ricci-flat spacetimes of signature (2,q) with q=2,3,4 are constructed which admit irreducible Killing tensors of rank-3 or rank-4. The construction relies upon the Eisenhart lift applied to Drach's two-dimensional integrable systems which is followed by the oxidation with respect to free parameters. In four dimensions, some of our solutions are anti-self-dual.

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Marco Cariglia, Anton Galajinsky. 2015-03-07. Ricci-flat spacetimes admitting higher rank Killing tensors. https://doi.org/10.1016/j.physletb.2015.04.001

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