Relative mechanical quantities in spaces with a transport along paths

2003/10/14 by Bozhidar Z. Iliev
Physics and Astronomy · Mathematics · #math-ph #gr-qc #math.DG #math.MP #msc:70B05 #msc:83C99 #msc:83E99

paper · pdf

published as Communication JINR, E5-94-188, Dubna, 1994 · 14 LaTeX pages. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/

arxiv created 2003/10/14 · arxiv updated 2009/12/01

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.

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