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- Thread starter Airsteve0
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The easiest thing to start by doing would be to check whether there is any equilibrium (stable or unstable).

[...]would this imply that at a finite time in the future the universe would undergo a "big crunch"? More importantly, would this imply the scale factor a(t) is equal to zero at that time?

Why do you say "more importantly?" I think these two things are synonymous, except in the special case of the Milne universe, where the scaling is just a change of coordinates.

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