 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2018/ii/paper-3/38e/a/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

\frac{\partial x ˉ ^{\overset{α}{ˉ}}}{\partial x ^{μ}} = γ - γ v 00 - γ v γ 00 00100001 .

It is a boost along the

x

-axis from the frame in which the black hole moves to its rest frame. Direct matrix multiplication shows that replacing

v

- v

gives its inverse.

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