Can torsion play a role in angular momentum conservation law?

Details Can torsion play a role in angular momentum conservation law? Can torsion play a role in angular momentum conservation law?

1998-09-02

arxiv.org/abs/gr-qc/9809009v2

Gen.Rel.Grav. 31 (1999) 3-12

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, LaTeX

Scientific paper

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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