Does GR Consider Angular Momentum & Rotational Stress?

Frogeyedpeas
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Forgive ne if this sounds stupid but does GR take into account angular momentum, torsion, and other effects of rotation? The stress energy tensor doeznt appear to have any terns that are meant two accommodate angular momentum abd rotational stress.
 
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By analogy with L = r x p you can define a density for orbital angular momentum: Nσμν = xσ Tμν - xμ Tσν. However what gravity couples to is Tμν.

EDIT: Note that orbital angular momentum is well-defined only in flat space.
 
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