Relativistic and Non-relativistic Equations of Motion
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
It is shown that any second order dynamic equation on a configuration space of non-relativistic time-dependent mechanics can be seen as a geodesic equation with respect to some (non-linear) connection on the tangent bundle of relativistic velocities. Using this fact, the relationship between relativistic and non-relativistic equations of motion is studied.
Keywords
Cite
@article{arxiv.gr-qc/9805081,
title = {Relativistic and Non-relativistic Equations of Motion},
author = {L. Mangiarotti and G. Sardanashvily},
journal= {arXiv preprint arXiv:gr-qc/9805081},
year = {2007}
}
Comments
18 pages, LaTeX