Slow-roll inflation in $f(T,\mathcal{T})$ modified gravity

TL;DR

This paper investigates slow-roll inflation within the $f(T,\,\mathcal{T})$ gravity framework, analyzing inflationary observables and assessing model viability through numerical analysis aligned with observational data.

Contribution

It introduces slow-roll inflation conditions in $f(T,\,\mathcal{T})$ gravity and evaluates model parameters for observational consistency.

Findings

Feasibility of matching slow-roll parameters with observations.

Numerical analysis supports model viability.

Different parameter values can achieve compatibility.

Abstract

In this article, we explore the concept of cosmological inflation within the framework of the $f (T,\mathcal{T})$ theory of gravity, where $f$ is a general function of the Torsion scalar $T$ and the trace, $\mathcal{T}$, of the energy-momentum tensor. It is assumed that the conditions of slow-roll inflation are applicable in$f (T,\mathcal{T})$ gravity. To determine different observables related to inflation, such as the tensor-to-scalar ratio $r$, scalar spectral index $n_s$, spectral index $ \alpha_s $, and tensor spectral index $n_t$, the Hubble slow-roll parameters are utilized for a particular model of $f (T,\mathcal{T})$. Lastly, an assessment has been carried out to determine the feasibility of the models by conducting a numerical analysis of the parameters. The findings indicate that it is feasible to achieve compatibility with the observational measurements of slow-roll parameters by utilizing different values of the free parameters.