Relativistic forces in Lagangian mechanics
Mathematical Physics
2012-06-08 v1 General Relativity and Quantum Cosmology
math.MP
Classical Physics
Abstract
We give a general definition of \emph{relativistic force} in the context of Lagrangian mechanics. Once this is done we prove that the only relativistic forces which are linear on the velocities are those coming from differential 2-forms defined on the configuration space. In this sense, electromagnetic fields provide a mechanical system with the simplest type of relativistic forces.
Keywords
Cite
@article{arxiv.1206.1372,
title = {Relativistic forces in Lagangian mechanics},
author = {J. Muñoz Díaz},
journal= {arXiv preprint arXiv:1206.1372},
year = {2012}
}
Comments
8 pages. arXiv admin note: text overlap with arXiv:0801.4151