无外力相对论陀螺的覆盖二阶拉格朗日量
广义相对论与量子宇宙学
2018-05-22 v3 微分几何
动力系统
辛几何
经典物理
摘要
考虑了一个具有显式协变二阶拉格朗日函数的参数不变变分问题，该问题涵盖了常加速度约束流形上自由相对论陀螺的情形。
引用
@article{arxiv.1207.3618,
title = {A covering second-order Lagrangian for the relativistic top without forces},
author = {Roman Matsyuk},
journal= {arXiv preprint arXiv:1207.3618},
year = {2018}
}
备注
V4: Section 3 slightly overwritten, formulae (18) and (25) of v3 corrected. V2: An enhanced version, the expanded development after formula (15) have been added. Section "Variational attempt" added. V1: Minor corrections to end formulae and to formula 3a; http://www.imath.kiev.ua/~symmetry/Symmetry2001/Matsyuk741-745.pdf MR1918395 (2003f:70030)