Does Mass or Size Affect Curvation in Relativity?

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In summary, the curvature of space-time depends on the entire stress energy tensor, not just mass. This includes factors such as energy density, momentum, pressure, and stress.
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Hepic
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General Relativity says that every object that has mass make a curvation to space-time.
Ι want to ask from what depends the curvation. Only from his mass? It depends from the size of object?

For example let's say that we have one object with 10 meter size,and an other with 1000,but they have the same mass,then: Whose curvation will be "deeper" to space-time? Whose curvation will be "bigger" in ratio?

(I think that the bigger size makes the bigger ratio and the bigger mass makes the deeper curvation. I just suppose,I do not know.)
So can you help me?
Thank you !
 
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Hepic said:
General Relativity says that every object that has mass make a curvation to space-time.
Ι want to ask from what depends the curvation. Only from his mass? It depends from the size of object?
In GR the source of curvature is not only mass density, it is the entire stress energy tensor. The Wikipedia article has a good description of the various terms in the stress energy tensor.

http://en.wikipedia.org/wiki/Stress–energy_tensor

Note, not only does energy density contribute, but so does momentum, pressure, and stress.
 

Related to Does Mass or Size Affect Curvation in Relativity?

1. How does mass affect curvature in relativity?

In Einstein's theory of general relativity, mass and energy are equivalent and produce curvature in the fabric of space-time. The more massive an object is, the more it will curve the space around it.

2. Does the size of an object have an impact on its curvature in relativity?

Yes, the size of an object does have an impact on its curvature in relativity. While mass is the primary factor in determining the amount of curvature, the size of an object can also contribute to the overall curvature of space-time.

3. Is there a limit to how much an object's mass and size can affect curvature in relativity?

According to general relativity, there is no limit to how much an object's mass and size can affect curvature in relativity. However, at extremely high mass and energy densities, the theory breaks down and a more comprehensive theory, such as quantum gravity, is needed.

4. Can an object with a small mass have a significant impact on curvature in relativity?

Yes, even objects with relatively small masses can have a significant impact on curvature in relativity. This is because it is the density of mass that is important in determining the amount of curvature, not just the overall mass of the object.

5. Does the curvature of space-time affect the motion of objects with mass?

Yes, the curvature of space-time has a direct impact on the motion of objects with mass. In fact, it is the curvature of space-time that determines the paths that objects with mass will follow, as they are always trying to move along the shortest path in the curved space-time.

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