Episode 136: Introduction to General Relativity
The Science of Everything Podcast
00:00
How to Solve 10 Coupled Nonlinear Partial Differential Equations
The left hand side of this system of equations is the Rishi tensor which describes the curvature of spacetime and then we've subtracted a bit off. The right hand side by contrast is fairly simple it's just the stress energy tensor. So what we can do is write out the Einstein field equations fully in terms of just the metric tensor because that describes the shape of spacetime. And each term here has like a couple of these Gs so a G is the metric Tensor and then there's some partial derivatives and the partial derivatives can change position depending on what you're differentiating.
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