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