On a new differential geometric method in metric-torsion theories of gravitation (Q2878020)

The authors present a new approach to deduce the field equation for a large class of metric-torsion theories of gravitation. They apply spinors to describe matter fields. In the presentation, several versions of the Noether identity are used. Further, they systematically use conservation laws to simplify the equations of motion and the field equation of a given lagrangian.NEWLINENEWLINEContrarily to the majority of other authors, they compare with similar older results in the literature back to a paper from 1949, so one can really believe that their presentation is a new one.NEWLINENEWLINETo show the character of the deduced results we cite here their result given at page 73: ``In an arbitrary gauge-invariant theory the Noether current is presented by a sum of two terms, the first vanishes on equations of motion, the second is a divergence of a superpotential.''