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Can torsion play a role in angular momentum conservation law?

Yishi Duan·Ying Jiang
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Abstract

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.

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Yishi Duan, Ying Jiang. 1998-11-24. Can torsion play a role in angular momentum conservation law?. https://doi.org/10.1023/a%3A1018855102407

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