13-57 N. Tsitverblit
Initial Friedmann universe, its spatial flatness, matter creation, and the cosmological term (242K, pdf) Jun 25, 13
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Abstract. In the \mbox{Friedmann} equations, an infinite initial density is avoided only when the universe is spatially flat. With such equations being then valid when the scale factor \$a=0\$, the universe must also be in the state of vacuum when \$a\$ is infinitesimal. Matter creation thus largely comes from nonlinearity of the \mbox{Friedmann} equations at a finite \$a\$. For the correspondence between such an initial vacuum and the \mbox{Friedmann} universe, therefore, a vacuum density is suggested to be gravitationally significant only when it could also have a matter phase. The effective cosmological term is then due to such a vacuum density.

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