Inflationary cosmology scenario in non-conservative theory of gravity

Throughout this work, we study the inflationary cosmology scenario by making use of three different classes of inflation potentials that are well known in the literature. In the order to find the range of Rastall parameter and to describe the cosmological inflation scenario, we find out the slow-roll parameters and predict the scalar spectral index ns , the tensor to scalar ratio r, and tensor spectral index nT . Note that these parameters are expressed in terms of the inflation potential parameters. In the following, we use the spectral index constraints in the parameter space of the potentials and find the range of λRas . By Comparing our results with the PLANCK 2018 and WMAP data, it is happened that the Rastall parameter λRas lies between - 0.28 < λRas< 1.474 .