Some metrics admitting nonpolynomial first integrals of the geodesic equation

DOI10.1016/j.physletb.2021.136483OpenAlexW3175041803WikidataQ114141519 ScholiaQ114141519MaRDI QIDQ2237022

Anton V. Galajinsky

Publication date: 26 October 2021

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.09335

zbMATH Keywords

generalised Killing vectorsnonpolynomial first integrals

Mathematics Subject Classification ID

Quantum theory (81-XX) Relativity and gravitational theory (83-XX)

Related Items (3)

Integrable magnetic geodesic flows on 2-surfaces ^* ⋮ New examples of non-polynomial integrals of two-dimensional geodesic flows ^* ⋮ Integrable geodesic flows and metrisable second-order ordinary differential equations

Cites Work

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• Invariants of real low dimension Lie algebras
• Killing tensors and canonical geometry
• Generalised Eisenhart lift of the Toda chain

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