Relativistic and Non-relativistic Equations of Motion

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It is shown that any second order dynamic equation on a configuration space $X$ of non-relativistic time-dependent mechanics can be seen as a geodesic equation with respect to some (non-linear) connection on the tangent bundle $TX\to X$ of relativistic velocities. Using this fact, the relationship between relativistic and non-relativistic equations of motion is studied.
18 pages, LaTeX

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/36221

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/9805081
 http://arxiv.org/abs/gr-qc/9805081

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arXiv