Abstract
Recent results on the relativistic mechanics of directly interacting point particles are reviewed. A reparametrization invariant formulation of the problem is given in terms of projective tangent spaces and second order differential systems. The relation between this general approach and the phase space constraint Hamiltonian picture (including the theorem about gauge dependence of world lines for canonical coordinates in relativistic classical mechanics) is discussed. An application of the canonical Hamiltonian framework to the general relativistic 2-body problem is also reviewed.KeywordsRelativistic ParticleWorld LineIntegral ManifoldHamiltonian ConstraintGauge DependenceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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