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

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

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Alessandro Roussel,
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