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I am studying general relativity right now and I am very curious about the Ricci tensor and its meaning. I keep running into definitions that explain how the Ricci tensor describes the deviation in volume as a space is affected by gravity. However, I have yet to find any quantitative explanation of this definition. How can volume differences be calculated with the Ricci tensor? What role does the Ricci tensor play in the volume changes?

Thanks!

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# Quantitative Meaning of Ricci Tensor

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