Superstring cosmology: Is it consistent with a matter-dominated universe?

Physics

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It is shown that if our universe is described by the cosmological, classical, Einstein equations based on a manifold M4 × G where G is the product of any number of Ricci flat manifolds (as is expected to occur in superstring theories) then our universe must, today, be radiation dominated. A matter-dominated universe (or an inflationary universe) would lead to large variations in the size of the extra dimensions. This would lead to changes in coupling constants of sufficiently large magnitude to be rules out by observation. If a model based on M4 x G with G Ricci flat is to viable, there are only two possibilities. Either the universe is radiation dominated today (for which no satisfactory model exists) or the compactification is controlled dominantly by some (thus far) unquantifiable ``quantum gravity'' effects.
I wish to thank S. Ellis and W.G. Unruh for helpful discussions.

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