<p>Yes, if the Universe is matter-dominated and spatially closed, then a cosmological constant:</p>

<p>$\Lambda &gt; \frac{4\pi G \rho}{c^2}$</p>

<p>Where $\rho$ is the critical energy density (of matter) of the Universe, will cause it to expand forever.</p>

<p>NB Where $\Lambda$ is equal to this value you get the (unstable) Einstein static Universe.</p>

CC BY-SA 3.0
2015-04-11T18:44:19.070Z
2015-04-11T22:00:16.817Z
2015-04-11T22:00:16.817Z
John Davis
<p>In the lambda-CDM model, the Universe is spatially flat, and will expand forever. Is possible that a spatially closed Universe expands forever?</p>

<cosmology>
Can the Universe be spatially closed and expand forever?
set5
# Can the Universe be spatially closed and expand forever?

(Asked by: username_0 on 2015-04-11)

In the lambda-CDM model, the Universe is spatially flat, and will expand forever. Is possible that a spatially closed Universe expands forever?

**Tags:** cosmology


---

## 1 answers

### Answer by username_1 on 2015-04-11. Score: 5 | Accepted answer

Yes, if the Universe is matter-dominated and spatially closed, then a cosmological constant:

$\Lambda > \frac{4\pi G \rho}{c^2}$

Where $\rho$ is the critical energy density (of matter) of the Universe, will cause it to expand forever.

NB Where $\Lambda$ is equal to this value you get the (unstable) Einstein static Universe.


---

