New constraints in dynamical torsion theory

TL;DR

This paper explores a generalized dynamical torsion theory by imposing physically motivated constraints, reducing parameters, and unifying aspects of Einstein's relativity and absolute parallelism.

Contribution

It introduces new constraints in dynamical torsion theory that simplify the model and connect it with well-known gravitational theories.

Findings

Reduced coupling constants from ten to five.

Unified Einstein's general relativity and Weitzenbock's theory within a single framework.

Identified solutions with zero curvature and nontrivial torsion, and vice versa.

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.