Rational first integrals of geodesic equations and generalised hidden symmetries

DOI10.1088/0264-9381/33/19/195003zbMath1349.83013arXiv1605.08955OpenAlexW2410135256WikidataQ125388588 ScholiaQ125388588MaRDI QIDQ2834916

Arata Aoki, Kentaro Tomoda, Tsuyoshi Houri

Publication date: 1 December 2016

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.08955

zbMATH Keywords

spacetime symmetriesKilling tensorclassical general relativityrational first integralsRiemannian geometries

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (8)

Integrable magnetic geodesic flows on 2-surfaces ^* ⋮ Black holes, hidden symmetries, and complete integrability ⋮ On a class of quadratic conservation laws for Newton equations in Euclidean space ⋮ New examples of non-polynomial integrals of two-dimensional geodesic flows ^* ⋮ On first integrals of two-dimensional geodesic flows ⋮ Some metrics admitting nonpolynomial first integrals of the geodesic equation ⋮ Rational integrals of 2-dimensional geodesic flows: new examples ⋮ Rational Integrability of the Maxwell–Bloch System

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