Relative mechanical quantities in spaces with a transport along paths
Mathematical Physics
2007-05-23 v1 General Relativity and Quantum Cosmology
Differential Geometry
math.MP
Abstract
The concepts of relative velocity and acceleration, deviation velocity and acceleration and relative momentum of point particles in spaces (manifolds), the tangent bundle of which is equipped with a transport along paths, are introduced. If the tangent bundle is endowed also with a metric, it gives rise also to the notion of a relative energy. Certain ties between these quantities are considered. The cases of massless particles and of special relativity are presented in this context.
Cite
@article{arxiv.math-ph/0310024,
title = {Relative mechanical quantities in spaces with a transport along paths},
author = {Bozhidar Z. Iliev},
journal= {arXiv preprint arXiv:math-ph/0310024},
year = {2007}
}
Comments
14 LaTeX pages. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/