Physics
Scientific paper
Mar 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phlb..187...12b&link_type=abstract
Physics Letters B, Volume 187, Issue 1-2, p. 12-16.
Physics
159
Scientific paper
An exact power-law inflationary solution possessing an exponential potential is given. We note that recent attempts to prove cosmic no-hair theorems for cosmological inflation exclude a wide range of ever-expanding cosmological models by the assumptions that positive spatial curvature implies the recopllpse of closed universes. Examples are given to show that, contrary to previous expectations, perfect fluid cosmologies with p = (γ-1)ɛ need not approach isotropy and homogeneity as t-->∞ for any constant γ > 0. The relevance to the problem of closed universes which recollapse before inflation occurs is also discussed.
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