The Maths of General Relativity (5/8) - Curvature

Video Description

In this series, we build together the theory of general relativity. This fifth video focuses on the notion of curvature, and the different tensors that are used to characterize it. 0:00 - The role of curvature 01:29 - Defining curvature 03:01 - Mathematical expression 04:43 - The Riemann tensor 05:56 - The Ricci tensor 07:12 - The Ricci scalar 08:10 - Concrete example 1 - Empty spacetime 09:16 - Concrete example 2 - Spherical geometry For more videos, subscribe to the YouTube channel : https://www.youtube.com/ScienceClicEN And if you liked this video, you can share it on social networks ! To support me on Patreon : http://www.patreon.com/ScienceClic or on Tipeee : http://tipeee.com/ScienceClic Facebook Page : http://facebook.com/ScienceClic Twitter : http://twitter.com/ScienceClic Instagram : http://instagram.com/ScienceClic Alessandro Roussel, For more info: http://www.alessandroroussel.com/en