Episode 136: Introduction to General Relativity
The Science of Everything Podcast
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The Ritchie Tensor and the Curvature of Spacetime
The Ritchie tensor describes the curvature of spacetime. It tells us how the volume of a shape changes as it moves along a geodesic like a basically a shortest distance in curved spacetime. If the Ritchie Tensor is zero that doesn't mean that the space is not curved. That's very important. Now before we finish up on the curvature part I'm just going to introduce one more curvature tensor and this is called the Ritchie scalar. Confusingly enough it's also a tensor but I won't explain that.
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