Closed matter-dominated Friedmann solution (source code)

= Closed matter-dominated Friedmann solution

A positively curved pressureless Friedmann universe has the cycloidal parametrization $a=A(1-\cos\theta)$ and $t=B(\theta-\sin\theta)$, with $B=A/\sqrt{k}$. It expands from a Big Bang, reaches maximum size at $\theta=\pi$, and recollapses at $\theta=2\pi$.