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Scalar and tensor cosmological perturbations during an inflationary universescenario in the context of the a generalized gravity theory are studied. Thisanalyze is carried out considering an ansatz on the variables associated toscalar and tensor perturbation ($z_s$ and $z_t$) in the Jordan frame. In thiscontext, we analyze two different Ansatze for the ratio $z_s/z_t$, and we studyin great detail the analytical and exact solutions for the cosmologicalperturbations together with the corresponding reconstruction of the backgroundvariables. Recent observational data from the Planck 2018 results are employedto constrain the parameters of each of the models.

Reconstruction and exact solutions for cosmological perturbations from a generalized gravity theory