Eisenhart lift for higher derivative systems

Abstract

The Eisenhart lift provides an elegant geometric description of a dynamical system of second order in terms of null geodesics of the Brinkmann-type metric. In this work, we attempt to generalize the Eisenhart method so as to encompass higher derivative models. The analysis relies upon Ostrogradsky's Hamiltonian. A consistent geometric description seems feasible only for a particular class of potentials. The scheme is exemplified by the Pais–Uhlenbeck oscillator.

Original language	English
Pages (from-to)	86-90
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	765
DOIs	https://doi.org/10.1016/j.physletb.2016.11.059
Publication status	Published - 10 Feb 2017

Keywords

Eisenhart lift
Higher derivative mechanics

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.physletb.2016.11.059

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Galajinsky, A., & Masterov, I. (2017). Eisenhart lift for higher derivative systems. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 765, 86-90. https://doi.org/10.1016/j.physletb.2016.11.059

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