Goryachev-Chaplygin, Kovalevskaya, and Brdi\v{c}ka-Eardley-Nappi-Witten pp-waves spacetimes with higher rank St\"ackel-Killing tensors
G. W. Gibbons, C. Rugina

TL;DR
This paper investigates hidden symmetries in specific spacetimes, revealing higher rank Stäckel-Killing tensors and their associated symmetry groups, which enhances understanding of spacetime symmetries in general relativity.
Contribution
The study identifies higher rank Stäckel-Killing tensors in Goryachev-Chaplygin, Kovalevskaya, and Brdička-Eardley-Nappi-Witten spacetimes, linking them to known symmetry groups.
Findings
Presence of higher rank Stäckel-Killing tensors in studied spacetimes
Symmetry group for pp-wave spacetimes is the Newton-Hooke group
Enhanced understanding of hidden symmetries in these spacetimes
Abstract
Hidden symmetries of the Goryachev-Chaplygin and Kovalevskaya gyrostats spacetimes, as well as the Brdi\v{c}ka-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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
