Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-01-14
Physics
High Energy Physics
High Energy Physics - Theory
Talk presented at the Journees Relativistes, Dublin (Ireland), sept. 2001
Scientific paper
10.1142/S0217751X02011916
In general relativity, only relative acceleration has an observer-independend meaning: curvature and non-gravitational forces determine the rate at which world lines of test bodies diverge or converge. We derive the equations governing both in the conventional geometric formalism as well as using the background field method. This allows us to generalize the results to test bodies with charge and/or spin. The application of the equations to the motion of particles in a central field results in an elegant, fully relativistic version of the Ptolemaean epicycle scheme.
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