Cosmological Inflation in f(Q, T) Gravity

TL;DR

This paper explores cosmological inflation within f(Q, T) gravity, analyzing inflationary dynamics, calculating observable parameters, and demonstrating consistency with Planck 2018 data using various inflationary potentials.

Contribution

It introduces a linear f(Q, T) gravity model for inflation and computes inflationary observables, showing compatibility with observational data and exploring effects of different potentials.

Findings

The model yields inflationary predictions consistent with Planck 2018 data.

Different potentials impose distinct parameter restrictions in the model.

Natural inflation predictions align well with combined Planck, BK15, and BAO data.

Abstract

We study the cosmological inflation within the context of f(Q, T) gravity, wherein Q is the nonmetricity scalar and T is the trace of the matter energy-momentum tensor. By choosing a linear combination of Q and T, we first analyze the realization of an inflationary scenario driven via the geometrical effects of the linear f(Q, T) gravity and then, we obtain the modified slow-roll parameters, the scalar and the tensor spectral indices, and the tensor-to-scalar ratio for the proposed model. In addition, by choosing three inflationary potentials, i.e. the power-law, hyperbolic and natural potentials, and by applying the slow-roll approximations, we calculate these inflationary observables in the presence of an inflaton scalar field. The results indicate that by properly restricting the free parameters, the proposed model provides appropriate predictions that are consistent with the observational data obtained from the Planck 2018. Also, we specify that the contribution of linear model of f(Q, T) gravity with the hyperbolic and natural potentials can impose different restrictions on the parameters of these potentials. Furthermore, the predictions of natural inflation in this model are in good agreement with the joint Planck, BK15 and BAO data, justifying the use of the f(Q, T) gravity.