Approach to exact inflation in modified Friedmann equation

We study inflationary universe models that are characterized by a single scalar inflaton field. The study of these models are based on two dynamical equations; one corresponding to the Klein-Gordon equation for the inflaton field, and the other, to a generalized Friedmann equation. After describing the kinematics and dynamics of the models, we determine in some detail scalar density perturbations and relic gravitational waves. We apply this approach to the Friedmann-Chern-Simons and the brane-world inflationary models.