Does GR Consider Angular Momentum & Rotational Stress?

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SUMMARY

General Relativity (GR) does not explicitly account for angular momentum and rotational stress within its framework, as the stress-energy tensor Tμν lacks terms for these factors. The discussion highlights the relationship between angular momentum and the stress-energy tensor, suggesting a density for orbital angular momentum defined as Nσμν = xσ Tμν - xμ Tσν. However, it is noted that this definition is only applicable in flat space, indicating limitations in the application of angular momentum concepts in curved spacetime.

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  • Understanding of General Relativity principles
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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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