Eisenhart lift for higher derivative systems
High Energy Physics - Theory
2016-12-07 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1611.04294,
title = {Eisenhart lift for higher derivative systems},
author = {Anton Galajinsky and Ivan Masterov},
journal= {arXiv preprint arXiv:1611.04294},
year = {2016}
}
Comments
V2: 12 pages, minor improvements, references added; the version to appear in PLB