Constrained Systems and Analytical Mechanics in Spases with Torsion
Shabanov, Sergei V.
arXiv, 9801023 / Harvested from arXiv
Text on arXiv
A 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 Poincar\'e'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.
Publié le : 1998-01-19
Classification:  Mathematical Physics,  General Relativity and Quantum Cosmology,  Quantum Physics 
@article{9801023,
     author = {Shabanov, Sergei V.},
     title = {Constrained Systems and Analytical Mechanics in Spases with Torsion},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9801023}
}

Shabanov, Sergei V. Constrained Systems and Analytical Mechanics in Spases with Torsion. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9801023/