 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2009/iii/paper-55/1/b/2/solution

Codex  0 Created 2026-10-03 Updated 2026-10-14

a \propto t^{2}

, so

\overset{a}{¨} > 0

: the expansion accelerates. Equivalently the Friedmann acceleration equation has

ρ + 3 P = ρ (1 + 3 w) = - ρ < 0

for

w = - 2/3

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