 Weyl tensor

ID: weyl-tensor

Codex  0 Created 2026-09-24 Updated 2026-09-28

The Weyl tensor is the completely trace-free part of the Riemann curvature tensor. In four dimensions,

C_{α β γ δ} = R_{α β γ δ} - \frac{1}{2} (g_{α γ} R_{β δ} + g_{β δ} R_{α γ} - g_{α δ} R_{β γ} - g_{β γ} R_{α δ}) + \frac{R}{6} (g_{α γ} g_{β δ} - g_{α δ} g_{β γ}) .

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