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New constraints in dynamical torsion theory
Authors:M O Katanaev
Institution:(1) Steklov Mathematical Institute, Vavilov St. 42, GSP-1, 117966 Moscow, Russia
Abstract:The most general Lagrangian for dynamical torsion theory quadratic in curvature and torsion is considered. We impose two simple and physically reasonable constraints on the solutions of the equations of motion (i) there must be solutions with zero curvature and nontrivial torsion and (ii) there must be solutions with zero torsion and non covariantly constant curvature. The constraints reduce the number of independent coupling constants from ten to five. The resulting theory contains Einstein's general relativity and Weitzenböck's absolute parallelism theory as the two sectors.
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