Geometry of the isotropic oscillator driven by the conformal mode

2017/12/31 by Anton Galajinsky · 1 citation
Physics and Astronomy · Mathematics · #hep-th #gr-qc #math-ph #math.MP

paper · pdf · doi:10.1140/epjc/s10052-018-5568-8

V3: 10 pages, presentation improved, the version to appear in Eur. Phys. J. C

arxiv created 2018/01/17 · arxiv updated 2018/03/14

Abstract

Geometrization of a Lagrangian conservative system typically amounts to reformulating its equations of motion as the geodesic equations in a properly chosen curved spacetime. The conventional methods include the Jacobi metric and the Eisenhart lift. In this work, a modification of the Eisenhart lift is proposed which describes the isotropic oscillator in arbitrary dimension driven by the one-dimensional conformal mode.

Cited by

• The Bohlin variant of the Eisenhart lift