Eisenhart lift of 2-dimensional mechanics

Abstract The Eisenhart lift is a variant of geometrization of classical mechanics with d degrees of freedom in which the equations of motion are embedded into the geodesic equations of a Brinkmann-type metric defined on $$(d+2)$$ (d+2) -dimensional spacetime of Lorentzian signature. In this work, th...

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Bibliographic Details
Main Authors: Allan P. Fordy, Anton Galajinsky
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-6812-6