Reconstruction of Scalar-Torsion Gravity Theories from the Physical Potential of a Scalar Field

We consider scalar-torsion gravity theories based on the exact solutions of a physical type of potential for cosmological inflationary models based on the non-minimal coupling of a scalar field and torsion. We analyzed the inflationary models with different types of inflationary dynamics and corresponding scalar field parameters. Such an approach allows us to consider different physical potentials and types of scalar-torsion gravity theories in the context of the realization of both stages of accelerated expansion of the universe. We also considered the correspondence surrounding the proposed inflationary models and the observational constraints on the parameters of cosmological perturbations.

Automated summary

This study examines scalar-torsion gravity theories with exact solutions based on a physical type of potential for cosmological inflationary models involving the non-minimal coupling of a scalar field and torsion. Different inflationary dynamics and corresponding scalar field parameters are analyzed. This approach allows for the consideration of various physical potentials and types of scalar-torsion gravity theories in the realization of two stages of accelerated expansion in the universe. The correspondence between the proposed inflationary models and observational constraints on cosmological perturbation parameters is also explored.