 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ii/paper-2/38d/b/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

Contracting the stated Einstein field equations with

g^{α β}

n

T = R - \frac{n}{2} R = - \frac{n - 2}{2} R .

Thus

R = - 2 T / (n - 2)

R_{α β} = T_{α β} - \frac{1}{n - 2} g_{α β} T, n > 2.

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