Logarithmic corrected Einstein-Gauss-Bonnet inflation compatible with GW170817

Understand

In this paper we investigate the inflationary phenomenology of an Einstein-Gauss-Bonnet theory with the extension of a logarithmic modified $f(R)$ gravity, compatible with the GW170817 event.

• The main idea of our work is to study different results for an almost linear Ricci scalar through logarithmic corrections and examine whether such model is viable.
• First of all, the theoretical framework under slow-roll evolution of the scalar field is presented and also developed the formalism of the constant-roll evolution making predictions for the non- Gaussianities of the models is developed , since the constant-roll evolution is known to enhance non-Gaussianities.
• As shown, the non-Gaussianities are of the order $\mathcal{O}\sim(10^{-1})$.