Inflation from a new gravitational model

Cosmological inflation currently has a large number of viable models describing the inflaton field that fit the experimental data. However, these models have a number of parameters that are largely chosen by trial to match the data, and do not have a fundamental principle guiding these choices. We show how a recently developed model of gravity which incorporates an extension of general relativity to include projective invariance (TW gravity) naturally gives rise to an inflaton field with a specific form of the potential. We find a parameter space for the free parameters of this model that fit the experimental constraints of the most recent cosmological data.