The scalar-torsion gravity corrections in the first-order inflationary models

TL;DR

This paper investigates how non-minimal coupling between scalar fields and torsion affects inflationary cosmological models, providing explicit correction forms and methods to test these models against observational data.

Contribution

It introduces a power-law parametrization of torsion-induced corrections and assesses their impact on inflationary parameters, offering a new approach to test such models with observational constraints.

Findings

Derived explicit forms of torsion corrections in inflationary models.

Estimated the influence of non-minimal coupling on cosmological parameters.

Proposed a verification procedure using observational data.

Abstract

The corrections to the cosmological models induced by non-minimal coupling between scalar field and torsion are considered. To determine these corrections in explicit form, the power-law parametrization of these corrections are proposed. The estimates of possible influence of non-minimal coupling between scalar field and torsion on cosmological parameters for inflationary models implying linear relation between tensor-to-scalar ratio and spectral index of scalar perturbations are obtained. A procedure for verifying these inflationary models due to the observational constraints on the values of cosmological perturbation parameters is also considered.