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that the B-R tensor is symmetric only on shell. This is not true however. The only condition required for symmetry is the local
Lorentz invariance (change of vierbein frame) of the action functional. I am happy to disuss this here if wanted
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In motivating the
Belinfante-Rosenfeld one uses the equations of motion to link the asymmetry of the canonical tensor to the divergence of the spin current. It therefore might
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There was an edit by MagnusPI saying that the B-R tensor is only symmetric on shell. I reverted it because I do not think that the claim is true.
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