Uniform rate inflation in $f(T, \mathcal{T})$-gravity

TL;DR

This paper explores uniform rate inflation within a modified $f(T, \\mathcal{T})$ gravity framework, demonstrating that early universe inflation can occur with specific scalar field conditions and matching Planck data.

Contribution

It introduces a novel inflationary model in $f(T, \\mathcal{T})$ gravity without slow-roll approximation, showing consistent inflation with scalar fields and stability.

Findings

Inflation achieved with quadratic potential and negative cosmological constant.

Inflaton field rolls at constant speed, enabling sufficient inflation.

Model predictions align with Planck cosmological perturbation data.

Abstract

We present uniform rate inflation in a modified $f(T, \mathcal{T}) $ gravity. It is found that early inflation can be realized even with a scalar field field with a quadratic potential and a negative cosmological constant. We construct inflationary model for the inflaton field without slow-roll approximation. The inflaton field rolling at a constant speed permits a universe with sufficient inflation which encompasses the present universe fairly well. The initial value of the scalar satisfies a lower limit which is sufficiently large compared to the field required for chaotic inflation. The Planck prediction for cosmological perturbations are estimated. It is found that the cosmological model is stable.