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

Access to Document

10.1016/j.physletb.2016.11.059

Fingerprint Dive into the research topics of 'Eisenhart lift for higher derivative systems'. Together they form a unique fingerprint.

Cite this

@article{1f95bbf1e67a4e3a89d10e254d1c5757,

title = "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.",

keywords = "Eisenhart lift, Higher derivative mechanics",

author = "Anton Galajinsky and Ivan Masterov",

year = "2017",

month = feb,

day = "10",

doi = "10.1016/j.physletb.2016.11.059",

language = "English",

volume = "765",

pages = "86--90",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier",

}

TY - JOUR

T1 - Eisenhart lift for higher derivative systems

AU - Galajinsky, Anton

AU - Masterov, Ivan

PY - 2017/2/10

Y1 - 2017/2/10

N2 - 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.

AB - 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.

KW - Eisenhart lift

KW - Higher derivative mechanics

UR - http://www.scopus.com/inward/record.url?scp=85002934292&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85002934292&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2016.11.059

DO - 10.1016/j.physletb.2016.11.059

M3 - Article

AN - SCOPUS:85002934292

VL - 765

SP - 86

EP - 90

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

ER -