Eisenhart lift for higher derivative systems

Anton Galajinsky, Ivan Masterov

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 languageEnglish
Pages (from-to)86-90
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume765
DOIs
Publication statusPublished - 10 Feb 2017

Keywords

  • Eisenhart lift
  • Higher derivative mechanics

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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

  • Cite this