2012/06/07 by J. Dı́az, J. Muñoz Díaz, Díaz, J. Muñoz · 2 citations
Mathematics · Physics and Astronomy · #70-XX #83-XX #Advanced Differential Geometry Research #Classical Physics (physics.class-ph) #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Relativity and Gravitational Theory #gr-qc #math-ph #math.MP #msc:70-XX #msc:83-XX #physics.class-ph
paper · pdf · doi:10.48550/arxiv.1206.1372
8 pages. arXiv admin note: text overlap with arXiv:0801.4151
arxiv created 2012/06/07 · openalex publication_date 2012/06/07 · arxiv updated 2012/06/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We give a general definition of 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.