The exact solutions in the standard inflationary model based on the
self-interacting scalar field minimally coupled to gravity are considered. The
shape's freedom of the self-interacting potential $V(\phi)$ is postulated to
obtain a new set of the exact solutions in the framework of
Friedmann-Robertson-Walker Universes. The general solution was found in the
case of power law inflation. We obtained new solutions and compared them with
obtained ones earlir for the exponential type inflation.Comment: 12 pages, Latex, to appear in: Phys.Lett.
We suggest the use of a nonlinear sigma model as the source which supports an emergent universe. The two-component nonlinear sigma model is considered as the simplest model containing inflaton and auxiliary chiral fields. *
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