New constraints in dynamical torsion theory

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 Weitzenbock's absolute parallelism theory as the two sectors.

References in corpus (1)

• String Model with Dynamical Geometry and Torsion

Cited by in corpus (5)

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• On the teleparallel limit of Poincare gauge theory
• Scale-invariant gauge theories of gravity: theoretical foundations
• Weak field reduction in teleparallel coframe gravity. Vacuum case
• Confining potential from interacting magnetic and torsion fields