$F(\phi)T$-Gravity and Inflationary Natural Model

TL;DR

This paper explores an extended modified gravity model, $F()T$, to analyze inflation, deriving key parameters and showing improved alignment with observational data compared to traditional models.

Contribution

It introduces a novel $F()T$ gravity framework to study inflation, extending beyond Einstein's gravity and providing better data fit.

Findings

Predictions align well with Planck/BICEP/Keck data

Derived slow-roll parameters for the $F()T$ model

Enhanced inflation model fitting observational constraints

Abstract

By applying a particular kind of modified gravity, we study the inflation. Precisely, we extend our investigations beyond the Einstein's gravity to explore the Natural inflation model via the term $F(\phi)T$. We compute the inflation dynamics to derive the slow-roll parameters, i.e., the tensor-to-scalar ratio ``$r$'' and the scalar spectral index ``$n_s$''. This modified form of the gravity yields not only the predictions of the original models but also better-fitting with the Planck/BICEP/Keck data.