arXiv · 1206.1372
Relativistic forces in Lagangian mechanics
Abstract
We give a general definition of \emph{relativistic force} in the context of Lagrangian mechanics. Once this is done we prove that the only relativistic forces which are linear on the velocities are those coming from differential 2-forms defined on the configuration space. In this sense, electromagnetic fields provide a mechanical system with the simplest type of relativistic forces.
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J. Muñoz Díaz. 2012-06-07. Relativistic forces in Lagangian mechanics. https://arxiv.org/abs/1206.1372
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