Tensor-Scalar Torsion
Charro Gruver, Richard Hammond, P. F. Kelly

TL;DR
This paper develops a gravity theory incorporating torsion, constructed from a potential and a scalar field, deriving field equations and demonstrating conservation of angular momentum and spin.
Contribution
It introduces a novel torsion-based gravity model with a scalar field and derives consistent field equations and conservation laws.
Findings
Derived field equations for the torsion-based gravity model
Established conservation law for angular momentum and spin
Integrated material action into the torsion framework
Abstract
A theory of gravity with torsion is examined in which the torsion tensor is constructed from the exterior derivative of an antisymmetric rank two potential plus the dual of the gradient of a scalar field. Field equations for the theory are derived by demanding that the action be stationary under variations with respect to the metric, the antisymmetric potential, and the scalar field. A material action is introduced and the equations of motion are derived. The correct conservation law for rotational angular momentum plus spin is observed to hold in this theory.
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