Saturday, 12 January 2013

cosmology - Can the Universe be spatially closed and expand forever?

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



Lambda>frac4piGrhoc2



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.

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