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arXiv · gr-qc/9905107

Nonrelativistic Geodesic Motion

L. Mangiarotti·G. Sardanashvily
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Abstract

We show that any second order dynamic equation on a configuration space $X\to R$ of nonrelativistic mechanics can be seen as a geodesic equation with respect to some (nonlinear) connection on the tangent bundle $TX\to X$ of relativistic velocities. We compare relativistic and nonrelativistic geodesic equations, and study the Jacobi vector fields along nonrelativistic geodesics.

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L. Mangiarotti, G. Sardanashvily. 1999-05-31. Nonrelativistic Geodesic Motion. https://arxiv.org/abs/gr-qc/9905107

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