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

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dynamical systems
oscillators

Keywords

  • Eisenhart lift
  • Higher derivative mechanics

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Eisenhart lift for higher derivative systems. / Galajinsky, Anton; Masterov, Ivan.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 765, 10.02.2017, p. 86-90.

Research output: Contribution to journalArticle

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