  In Einstein-Cartan theory, by the use of the general Noether theorem, the
general covariant angular-momentum conservation law is obtained with the
respect to the local Lorentz transformations. The corresponding conservative
Noether current is interpreted as the angular momentum tensor of the
gravity-matter system including the spin density. It is pointed out that,
assuming the tetrad transformation given by eq. (15), torsion tensor can not
play a role in the conservation law of angular momentum.

General Relativity and Quantum Cosmology