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Flat constant-equation-of-state scale factor

For an expanding spatially flat universe with constant

w > - 1

and

a (t_{0}) = 1

,

a (t) = [1 + \frac{3}{2} (1 + w) H_{0} (t - t_{0})]^{2/ [3 (1 + w)]} .

It vanishes at the finite past time

t_{*} = t_{0} - 2/ [3 (1 + w) H_{0}]

.

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