General covariant energy-momentum conservation law in general spacetime

We discuss the conservation laws in general spacetime with torsion and nonmetricity by use of the Noether theorem. We give a general Lagrangian density, which can be reduced to the one given by Rauch and Nieh (1981). The general covariant energy-momentum conservation law is obtained with respect to the general displacement transformationX ^' =X +e _a b ^b , which is a special case of general conservation laws. It is shown that in such a case, the existence of superpotentials is assured. The results are the natural extension of references 1,2].