The value derived from a solution to Einsteins equations is 0.25, with equation of state parameter .  This is consistent with the WMAP data, as shown below.

For constant, , where is the scale factor of the universe.
Einsteins equations of general relativity reduce to

so for a flat universe with k = 0, and

   (i.e.)   

and

 therefore the measured value of

because

This value is consistent with the WMAP results.  In reality , as the denominator should contain not , and . 

It is not necessary to include the concept of inflation in this model as the universe is naturally near critical density.

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