How Einstein derives the Riemann tensor in his paper on General Relativity

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In his famous article written in 1916 named “The Foundation of the General Theory of Relativity”, Einstein derived the Riemann-Christoffel tensor, as well as the Ricci tensor.
If you want to learn more about the steps, watch the youtube video.

This is an excerpt of a course on General Relativity, which you can find here:

or you can find here alternatively:

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