Eisenhart lift for higher derivative systems

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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
Publication statusPublished - 10 Feb 2017


  • Eisenhart lift
  • Higher derivative mechanics

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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