| 000 | 02837nlm1a2200349 4500 | ||
|---|---|---|---|
| 001 | 660159 | ||
| 005 | 20231030041655.0 | ||
| 035 | _a(RuTPU)RU\TPU\network\29127 | ||
| 090 | _a660159 | ||
| 100 | _a20190429a2019 k y0engy50 ba | ||
| 101 | 0 | _aeng | |
| 135 | _adrcn ---uucaa | ||
| 181 | 0 | _ai | |
| 182 | 0 | _ab | |
| 200 | 1 |
_aEisenhart lift of 2-dimensional mechanics _fA. P. Fordy, A. V. Galajinsky |
|
| 203 |
_aText _celectronic |
||
| 300 | _aTitle screen | ||
| 320 | _a[References: 28 tit.] | ||
| 330 | _aThe Eisenhart lift is a variant of geometrization of classical mechanics with d degrees of freedom in which the equations of motion are embedded into the geodesic equations of a Brinkmann-type metric defined on (d+2) -dimensional spacetime of Lorentzian signature. In this work, the Eisenhart lift of 2-dimensional mechanics on curved background is studied. The corresponding 4-dimensional metric is governed by two scalar functions which are just the conformal factor and the potential of the original dynamical system. We derive a conformal symmetry and a corresponding quadratic integral, associated with the Eisenhart lift. The energy–momentum tensor is constructed which, along with the metric, provides a solution to the Einstein equations. Uplifts of 2-dimensional superintegrable models are discussed with a particular emphasis on the issue of hidden symmetries. It is shown that for the 2-dimensional Darboux–Koenigs metrics, only type I can result in Eisenhart lifts which satisfy the weak energy condition. However, some physically viable metrics with hidden symmetries are presented. | ||
| 333 | _aРежим доступа: по договору с организацией-держателем ресурса | ||
| 461 |
_tThe European Physical Journal C _oScientific Journal |
||
| 463 |
_tVol. 79, iss. 4 _v[301, 11 р.,] _d2019 |
||
| 610 | 1 | _aэлектронный ресурс | |
| 610 | 1 | _aтруды учёных ТПУ | |
| 610 | 1 | _aлифт Эйзенхарта | |
| 610 | 1 | _aдвухмерное проектирование | |
| 700 | 1 |
_aFordy _bA. P. |
|
| 701 | 1 |
_aGalajinsky _bA. V. _cDoctor of Physical and Mathematical Sciences, Tomsk Polytechnic University (TPU), Department of Higher Mathematics and Mathematical Physics of the Institute of Physics and Technology (HMMPD IPT) _cProfessor of the TPU _f1971- _gAnton Vladimirovich _2stltpush _3(RuTPU)RU\TPU\pers\27878 |
|
| 712 | 0 | 2 |
_aНациональный исследовательский Томский политехнический университет _bИсследовательская школа физики высокоэнергетических процессов _c(2017- ) _h8118 _2stltpush _3(RuTPU)RU\TPU\col\23551 |
| 801 | 2 |
_aRU _b63413507 _c20190429 _gRCR |
|
| 856 | 4 | _uhttps://doi.org/10.1140/epjc/s10052-019-6812-6 | |
| 942 | _cCF | ||