Nonrelativistic Geodesic Motion

Details Nonrelativistic Geodesic Motion Nonrelativistic Geodesic Motion

1999-05-31

arxiv.org/abs/gr-qc/9905107v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, LaTeX

Scientific paper

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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