Geometric Properties of Paths in Relativistic Lagrangian MechanicsReport as inadecuate




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1 General Practitioner

Abstract : Considering an extension of the principle of covarience to the action along a path in relativistic Lagrangian mechanics, we motivate the use of geometric – i.e. covariant and parameter invariant – Lagrangian functions. We then study some properties of geometric Lagrangians, and introduce the notion of deviation of a path, which is a covariant measure of how much a path departs from a geodesic. Finally, we apply this notion of the twin paradox, and provide a rigorous resolution of it.

Keywords : Lagrangian Mechanics Special Relativity





Author: Olivier Brunet -

Source: https://hal.archives-ouvertes.fr/



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