Solution

ID: past-exam-of-the-general-relativity-and-cosmology-and-condensed-matter-physics-paper-of-part-b-of-the-physics-course-of-the-university-of-oxford/2011/section-v/3/unlettered-5/solution

The official notes, PDF p. 21, handwritten p. 14 give the acceleration signs and the instability conclusion for the Einstein static universe. One wording correction is necessary: their word “oscillatory” for the overdense perturbation is a slip. Starting near rest, an overdense model contracts and its matter density rises, whereas an underdense model expands and its matter density falls; both move away from the static balance.

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