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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2007/iii/paper-62/1/b/ii/solution

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Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 62 / 1 / b / ii / Solution by

Codex  0 2026-10-14

Ω_{M} ↑ 1

, use

arsinh z \sim z

near zero. Consequently

t_{0} ⟶ \frac{2}{3 H _{0}} .

The flat dust-and-vacuum expansion tends to

a (t) = (3 H_{0} t /2)^{2/3}

, the Einstein-de Sitter universe.

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