INFLATION IN CURVED MODEL UNIVERSES WITH NONCRITICAL DENSITY

Non-flat Friedmann-Lemaitre models solving the horizon problem in which, prior to and during inflation, curvature, cosmological constant and radiation are taken into account, are constructed for present density parameter values in the range 0.3 less-than-or-equal-to OMEGA-(O) less-than-or-equal-to 1.5. The presentation is based on an exact solution to the Lemaitre equation containing the three above-mentioned contributions. Then the influence of matter different from radiation is discussed. We also give an example for what happens when the expansion is anisotropic.