Relativistic and Non-relativistic Equations of Motion
classification
🌀 gr-qc
keywords
non-relativisticrelativisticequationequationsmotionbundleconfigurationconnection
read the original abstract
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.
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