1998/05/21 by L. Mangiarotti, Mangiarotti, L., G. Sardanashvily +1
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/9805081
18 pages, LaTeX
arxiv created 1998/05/21 · arxiv updated 2009/11/30
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→ X of relativistic velocities. Using this fact, the relationship between relativistic and non-relativistic equations of motion is studied.