Abstract
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 μ' =X μ +e μ 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].
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Duan, YS., Liu, JC. & Dong, XG. General covariant energy-momentum conservation law in general spacetime. Gen Relat Gravit 20, 485–496 (1988). https://doi.org/10.1007/BF00758123
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DOI: https://doi.org/10.1007/BF00758123