Mathematics – Logic
Scientific paper
Mar 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997ruphj..40..265p&link_type=abstract
Russ. Phys. J., Vol. 40, No. 3, p. 265 - 269
Mathematics
Logic
Cosmological Models: Inflationary Universe
Scientific paper
A homogeneous, spatially flat cosmological model induced by a massless scalar field is investigated. The parameter ξ of coupling of the field with the curvature can take any value. It is shown that the range of values of ξ is divided into three regions, ξ < 0, O < ξ < 1/6, and ξ > 1/6, each of which is characterized by the behavior of the scale factor in it. The points ξ = 0 and ξ = 1/6 are singular. Stages with exponential and power-law inflation are found in the ranges 0 < ξ < 1/6 and ξ > 1/6. An exponential inflationary stage with acceptable cosmological consequences can occur for small positive ξ.
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