Calculate how mass creates a curvature in relativity

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A system exists to calculate how mass creates curvature in relativity, primarily utilizing the Einstein Curvature Tensor. The process involves using mass distribution to derive the mass-energy tensor, which then leads to the metric tensor. From the metric tensor, the curvature tensor can be calculated. The discussion acknowledges that these calculations are complex and not straightforward. Understanding these relationships is crucial for exploring concepts like redshift in the context of general relativity.
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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!)
 

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