de Sitter approximation (source code)

= de Sitter approximation
{c}
{title2=$a(\tau)\simeq-1/(H\tau)$}

Approximately constant positive <Hubble parameter> gives a nearly <de Sitter spacetime> expansion in flat slicing. Its scale factor can be approximated by $a=-1/(H\tau)$ with negative <conformal time> increasing toward zero. Slow variation of the expansion rate limits the accuracy of this approximation.