Relativistic mechanics of constant curvature
Classical Analysis and ODEs
2022-02-17 v2 Analysis of PDEs
Abstract
We consider an inverse variational problem for the lines of constant curvature in (pseudo-)Euclidean two-, three-, and four-dimensional spaces. The accumulated results are physically meaningful in the case of relativistic mechanics of particles.
Keywords
Cite
@article{arxiv.2110.08225,
title = {Relativistic mechanics of constant curvature},
author = {R. Ya. Matsyuk},
journal= {arXiv preprint arXiv:2110.08225},
year = {2022}
}
Comments
23 pages, 4 figues, Dedicated to the bright memory of Vitalii Yakovych Skorobohat'ko, post-publication second proof