Calculate how mass creates a curvature in relativity

In summary, in Einstein's theory of general relativity, mass is a property of space-time that causes curvature in the fabric of space-time. This curvature is what leads to the effects of gravity, with more massive objects causing stronger gravitational pull. The curvature of space-time is calculated using complex equations that relate mass and energy distribution. While mass does play a role, other factors such as distribution and forces also contribute to the curvature. This concept differs from Newton's theory, where gravity is seen as a force between masses rather than a fundamental property of space-time.
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Does exist a system to calculate how mass creates a curvature in relativity, and how it creates redshift?
 
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I presume that, since you talk about "curvature in relativity", you are aware of the Einstein Curvature Tensor. One uses the mass distribution to calculate the mass-energy tensor, from that derives the metric tensor, then the Curvature tensor from the metric tensor.

(I'm not claiming anyone of those steps is an easy calculation!)
 

Related to Calculate how mass creates a curvature in relativity

What is the concept of mass creating curvature in relativity?

In Einstein's theory of general relativity, mass is seen as a property of space-time which creates curvature in the fabric of space-time. This curvature is what causes objects with mass to follow curved paths instead of straight lines.

How is mass related to gravity in relativity?

In relativity, mass is a form of energy and is equivalent to the curvature of space-time. This curvature is what we experience as gravity. The more massive an object is, the more it curves space-time and the stronger its gravitational pull.

How is the curvature of space-time calculated in relativity?

The curvature of space-time is calculated using the famous Einstein field equations, which relate the curvature of space-time to the distribution of mass and energy in a given region. These equations are complex and require advanced mathematical concepts to solve.

Does the amount of mass always determine the amount of curvature in relativity?

While the amount of mass does play a significant role in determining the curvature of space-time, it is not the only factor. The distribution of mass and energy also plays a crucial role in shaping the curvature of space-time. Additionally, the presence of other forces, such as angular momentum, can also affect the curvature.

How does the concept of mass creating curvature in relativity differ from Newton's theory of gravity?

In Newton's theory, gravity was seen as a force between two masses, with the strength of the force depending on the masses and the distance between them. However, in relativity, gravity is seen as the curvature of space-time caused by the presence of mass. This fundamental difference in understanding has led to significant advances in our understanding of the universe.

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