Curvature Tensor

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Do you agree with the fact that Einstein introduced the curvature tensor taking it 0 to be legit?

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Do you agree with the fact that Einstein introduced the curvature tensor taking it 0 to be legit?

When is it taken to be zero?

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Which curvature tensor (Riemann, Ricci, Weyl)? And in what situation? In a vacuum where Tab=0, then by the field equations you get Rab=0. So in a vacuum the Ricci tensor vanishes. On the other hand, the Riemann and Weyl tensors do not generally vanish.

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