Does GR Consider Angular Momentum & Rotational Stress?

In summary, angular momentum is a measure of rotational motion in the context of general relativity. It is considered a conserved quantity and can affect the curvature of space-time, as well as the relationship between angular momentum and rotational stress. In general relativity, it helps explain the effects of gravity and the behavior of rotating objects in strong gravitational fields.
  • #1
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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  • #2
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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FAQ: Does GR Consider Angular Momentum & Rotational Stress?

What is angular momentum in the context of general relativity?

Angular momentum is a measure of the rotational motion of an object around an axis. In general relativity, it is an important concept as it relates to the curvature of space-time and the effects of gravity.

How does general relativity consider angular momentum?

General relativity considers angular momentum as a conserved quantity, meaning it remains constant in a closed system. This is known as the conservation of angular momentum, and it applies to rotating objects in space-time.

Can angular momentum affect the curvature of space-time in general relativity?

Yes, angular momentum can affect the curvature of space-time in general relativity. The presence of angular momentum can cause space-time to have a non-zero spin, which can contribute to the overall curvature of space-time.

Is there a relationship between angular momentum and rotational stress in general relativity?

Yes, there is a relationship between angular momentum and rotational stress in general relativity. Rotational stress, also known as shear stress, is a type of stress that occurs in a material when it is subjected to a force that causes it to twist or rotate. This stress is related to angular momentum through the equations of motion in general relativity.

How does the concept of angular momentum contribute to our understanding of gravity in general relativity?

In general relativity, angular momentum plays a crucial role in our understanding of gravity. The presence of angular momentum can cause space-time to twist and bend, resulting in the effects of gravity that we observe in the universe. It also helps explain the behavior of rotating objects, such as galaxies and black holes, in the presence of strong gravitational fields.

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