Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/iii/paper-309/4/e/solution

The curvature 2-forms show that orthonormal curvature components grow as . The geodesic deviation equation converts them into the relative acceleration of nearby parts of an observer. As , the Schwarzschild tidal force stretches radial separations and compresses transverse separations with unbounded magnitude. An extended body therefore undergoes destructive tidal deformation before reaching the Schwarzschild singularity.

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