 1357 N. Tsitverblit
 Initial Friedmann universe, its spatial flatness, matter creation,
and the cosmological term
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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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