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The Properties of a Generalized Inflation

Cosmological problems, like horizon, flatness, and origin of primordial density perturbations, are investigated in the framework of a generalized (nonexponential) inflationary model. In particular, we studied in some detail a toy model in which the scale factor, R, grows like R a tP , with p > 1 (Power-Law Inflation; see, e.g., Abbott and Wise. 1984. Nucl. Phys. B244: 541), while considering the dynamics of a scalar field whose potential can give such an expansion. We found the constraints on the model related to the solution of the horizon, flatness, reheating, and perturbation spectrum problems. We also considered the limits on the model coming from the observational data on the microwave background anisotropy.