First order deviation equations in spaces with a transport along paths

2003/03/15 by Bozhidar Z. Iliev
Physics and Astronomy · Mathematics · #math-ph #gr-qc #math.DG #math.MP #msc:53C99 #msc:53C80 #msc:53Z05 #msc:83C99 #msc:83E99

paper · pdf

published as Communication JINR, E5-94-189, Dubna, 1994 · 12 LaTeX pages. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/

arxiv created 2003/03/15 · arxiv updated 2009/11/30

Abstract

In a coordinate free form are found the (deviation) equations satisfied by the (infinitesimal) deviation vector, relative velocity, relative momentum, relative acceleration and relative energy of two point particles in a differentiable manifold the tangent bundle of which is endowed with a linear transport along paths, a linear connection and, in the last case, also with a metric. Some approximate relations between these quantities are obtained.

Related

• Deviation equations in spaces with a transport along paths
• Relative mechanical quantities in spaces with a transport along paths
• Deviation equations in spaces with torsion
• Geodesic deviation to all orders via a tangent bundle formalism
• Geometric Properties of Paths in Relativistic Lagrangian Mechanics