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 | |
| Publication status | Published - 10 Feb 2017 |
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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 journal › Article
}
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 -