Testing logarithmic corrections on $R^2$-exponential gravity by observational data

Understand

This paper is devoted to the analysis of a class of $F(R)$ gravity, where additional logarithmic corrections are assumed.

• The gravitational action includes an exponential term and a $R^2$ inflationary term, both with logarithmic corrections.
• This model can unify an early time inflationary era and also the late time acceleration of the universe expansion.
• This model is deeply analysed, confronting with recent observational data coming from the largest Pantheon Type Ia supernovae sample, the latest measurements of the Hubble parameter $H(z)$, manifestations of Baryon Acoustic Oscillations and Cosmic Microwave Background radiation.