Cosmography analysis of f(R) gravity in the model Starobinsky type

Abstract

The authors investigate cosmological inflation in slow roll framework for the f (R) gravity. The authors got slow roll parameters scalar spectral index n S , tensor spectral index n T and scalar-to-tensor ratio r * for minimal coupling between matter and gravity. Having built their graphs, the authors concluded that the predictions of the Starobinsky model are in good agreement with the measurement of Planck, but allow a wide range of acceptable values for r and nT. It is shown, that connection between cosmographic parameters -deceleration parameter q , jerk j , snap s and lerk l and modern values of the scale factor. The proposed analysis makes it possible to relate the model-independent results obtained from cosmography with theoretically substantiated assumptions of f (R) gravity.