In the concluding part of this rather long lecture I complete the calculation of the curvature tensor using a rigid basis. The fact that the calculation part of this video is over in around the first six minutes is testament to how much simpler the calculation is in the rigid basis (to be fair, this does not consider the time required for the determination of the Ricci spin connection coefficients that was worked out in the last part). In the rest of this part, I discuss the way in which we can convert the results from one basis to another.
There is an exercise at the very end left for the viewer - the derivation of the Schwarzschild metric in general relativity.
On this page of the site you can watch the video online Part E : Efficient methods for curvature calculation using differential geometry with a duration of hours minute second in good quality, which was uploaded by the user Ananda Dasgupta 04 January 2024, share the link with friends and acquaintances, this video has already been watched 142 times on youtube and it was liked by 4 viewers. Enjoy your viewing!