Constrained Systems and Analytical Mechanics in Spases with Torsion

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dc.creatorShabanov, Sergei V.
dc.date1998-01-19
dc.date.accessioned2026-07-07T10:54:55Z
dc.date.available2026-07-07T10:54:55Z
dc.descriptionA system with anholonomic constraints where the trajectories of physical degrees of freedom are autoparallels on a manifold equipped with a general Cartan connection is discussed. A variational principle for the autoparallel trajectories is derived from the d'Alambert-Lagrange principle for anholonomic constrained systems. A geometrical (coordinate-independent) formulation of the variational principle is given. Its relation to Sedov's anholonomic variational principle for dissipative systems and to Poincaré's variational principle in anholonomic reference frames is established. A modification of Noether's theorem due to the torsion force is studied. A non-local action whose extrema contain the autoparallels is proposed. The action can be made local by adding auxiliary degrees of freedom coupled to the original variables in a special way.
dc.descriptionPlain LaTeX, 16 pages, no figures
dc.identifierhttps://arxiv.org/abs/physics/9801023
dc.identifierhttp://arxiv.org/abs/physics/9801023
dc.identifierJ.Phys.A31:5177-5190,1998
dc.identifierdoi:10.1088/0305-4470/31/22/016
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185957
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectQuantum Physics
dc.titleConstrained Systems and Analytical Mechanics in Spases with Torsion
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