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Actually, this question was answered by Lawrence B. Crowell,
but I would like to explore this topic further.
Can anyone give me please references on where I can find it?

Qmechanic
  • 201,751
  • I found this equation also in profoundphisics.com (in "Mathematical Proof: Why The Ricci Tensor Describes Volume Changes") , but still without any source...
    – Margherita Apr 03 '23 at 13:36
  • I have reframed your question and asked it again over here:- https://physics.stackexchange.com/questions/758020/confusion-regarding-an-expression-that-relates-the-metric-tensor-and-riemann-ten –  Apr 03 '23 at 16:41

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