In a generalized scalar-tensor inflation model, exact Whittaker-function perturbation spectra and analytical background reconstruction are derived from ansatze on the ratio zs/zt, with parameters tuned to Planck 2018.
From the particular solution given by Eq.(21) and considering of the v ariable zt (see Eq.(17)), we find that the arbitrary function F becomes F ∝ η2q a2
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Reconstruction and exact solutions for cosmological perturbations from a generalized gravity theory
In a generalized scalar-tensor inflation model, exact Whittaker-function perturbation spectra and analytical background reconstruction are derived from ansatze on the ratio zs/zt, with parameters tuned to Planck 2018.