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Goryachev-Chaplygin, Kovalevskaya, and Brdička-Eardley-Nappi-Witten pp-waves spacetimes with higher rank Stäckel-Killing tensors

2011/07/31 by G. W. Gibbons, C. Rugina · 1 citation
Physics and Astronomy · Mathematics · #gr-qc #math-ph #math.DG #math.MP

paper · pdf · doi:10.1063/1.3664754

11 pages; accepted for publication in JMP

arxiv created 2011/11/09 · arxiv updated 2015/05/29

Abstract

Hidden symmetries of the Goryachev-Chaplygin and Kovalevskaya gyrostats spacetimes, as well as the Brdička-Eardley-Nappi-Witten pp-waves are studied. We find out that these spacetimes possess higher rank Stäckel-Killing tensors and that in the case of the pp-wave spacetimes the symmetry group of the Stäckel-Killing tensors is the well-known Newton-Hooke group.

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