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Title: | Eisenhart lift for higher derivative systems |
Authors: | Galajinsky, Anton Vladimirovich Masterov, Ivan Viktorovich |
Keywords: | Higher derivative mechanics; Eisenhart lift |
Issue Date: | 2017 |
Publisher: | Томский политехнический университет |
Citation: | Galajinsky A. V. Eisenhart lift for higher derivative systems / A. V. Galajinsky, I. V. Masterov // Physics Letters B. — 2017. — Vol. 765. — [P. 86-90]. |
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. |
URI: | http://earchive.tpu.ru/handle/11683/37411 |
Appears in Collections: | Репринты научных публикаций |
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reprint-nw-18490.pdf | 258,63 kB | Adobe PDF | View/Open |
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