A covering second-order Lagrangian for the relativistic top without forces
General Relativity and Quantum Cosmology
2018-05-22 v3 Differential Geometry
Dynamical Systems
Symplectic Geometry
Classical Physics
Abstract
A parameter-invariant variational problem with a manifestly covariant Lagrangian function of second order is considered, which covers the case of the free relativistic top at constraint manifold of constant acceleration
Keywords
Cite
@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}
}
Comments
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)