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Time

Open

Borderline

Closed

"is y

(a) The scale factor R as a function of time for borderline, closed and open universes. (b) How the presence of gravitation means that the Hubble time is greater than the real age of the universe.

No Gravity Gravity

(a) The scale factor R as a function of time for borderline, closed and open universes. (b) How the presence of gravitation means that the Hubble time is greater than the real age of the universe.

We first look at the case k (20.19) then becomes

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