Can anyone show me an example of applying the Ricci curvature tensor to something other than GR? I also ask the same for the curvature scalar. Lately I've been trying to truly increase my understanding of curvature, so that I can see exactly how solutions of the EFE's predict the existence and presence of things like wormholes, black holes, and closed timelike curves. While I do quantitatively understand how to derive the curvature, my qualitative understanding of what this curvature truly is and what it actually describes could use some polishing. Perhaps if I see it applied to something else (like something in 3D instead of the 4D of relativity) then maybe I will understand the significance of all the terms of the Ricci tensor, the tensor itself, and the curvature scalar. Thank you.