Infinitesimal time reparametrisation and its applications
Mathematical Physics
2022-03-09 v1 math.MP
Abstract
A geometric approach to Sundman infinitesimal time-reparametrisation is given and some of its applications are used to illustrate the general theory. Special emphasis is put on geodesic motions and systems described by mechanical type Lagrangians. The Jacobi metric appears as a particular case of a Sundman transformation.
Keywords
Cite
@article{arxiv.2202.09581,
title = {Infinitesimal time reparametrisation and its applications},
author = {José F. Cariñena and Eduardo Martínez and Miguel C. Muñoz-Lecanda},
journal= {arXiv preprint arXiv:2202.09581},
year = {2022}
}
Comments
To appear in Journal of Nonlinear Mathematical Physics