On calculation of the cosmological parameters in exact models of inflation

Understand

We discuss a method of calculating the key cosmological parameters on the basis of a selected scale factor by using exact solutions of the background equations.

• We specify the formulas for calculating the power spectrum, the spectral indices and their ratios, and the ratio of squared amplitudes of scalar and tensor perturbations.
• We obtain, for the first time, expressions for the basic cosmological parameters in terms of the scalar factor value at the instant of crossing the cosmological horizon.
• In this case, the cosmological parameters are calculated for a wide class of exact models.