Observational Restrictions and Slow-Roll D-brane Inflation in the Special $F(\phi,T)$ Gravity

TL;DR

This paper explores D-brane inflation within a recently introduced modified gravity framework, analyzing slow-roll conditions, inflation dynamics, and reheating, and compares results with Planck observational data.

Contribution

It investigates the feasibility of D-brane inflation in the novel $F(,T)$ gravity, providing detailed calculations of inflation parameters and reheating dynamics.

Findings

Model aligns with Planck data on scalar spectral index and tensor-to-scalar ratio

Provides a detailed analysis of slow-roll inflation in $F(,T)$ gravity

Examines reheating dynamics within the D-brane inflation context

Abstract

We shall investigate the inflation for the D-brane model, motivated by the modified gravity $F(\phi,T)$. This gravity has been recently introduced in the literature. The feasibility of the D-brane inflation theory in the $F(\phi,T)$-gravity has been studied in conjunction with the most recent Planck data. We shall analyze the slow-roll inflation in the context of the $F(\phi)T$-gravity, via the D-brane model. Then, we shall calculate the inflation dynamics to obtain the scalar spectral index ``$n_s$'' and the tensor-to-scalar ratio ``$r$''. Besides, we investigate the dynamics of the reheating for this model. Our model accurately covers the left-hand side of the Planck data and the D-brane inflation.