Ricci tensor, Ricci scalar, Stress energy momentum tensor & Einstein tensor

This video explains the components of Einstein's field equations. Ricci scalar, Ricci curvature tensor, and stress energy-momentum tensor have been explained in detail. For those who are dealing with the General Theory of Relativity, understanding each and every component of Einstein's Field Equations plays a crucial role.

I have explained in the simplest possible manner the three components of EFE:

(a) The Ricci curvature tensor shows the volume change along the geodesic.

(b)The Ricci scalar denotes the amount of deviation of a ball from a Euclidean space to a non-Euclidean space

(c) The stress energy-momentum tensor deals with the entire matter movement part in spacetime.

Well, apart from this there are a lot of intricacies which I have covered in this video, like reducing the 16 components of the metric tensor to 10 components, understanding what is µ and ν.

I have also given a few examples of linear transformation and volume change under linear transformation. I have given a couple of examples on volume change under linear transformation and what is volume element or volume form. Lastly, all these merge to the final understanding of EFE and the three components that I mentioned earlier.