Reconstructing inflation and reheating in $f(\phi)T$ gravity

TL;DR

This paper reconstructs inflation and reheating scenarios within $f()T$ gravity, deriving effective potentials and reheating parameters constrained by recent observations, using a slow-roll attractor approach.

Contribution

It introduces a method to reconstruct inflationary potentials and reheating parameters in $f()T$ gravity based on the scalar spectral index and observational data.

Findings

Derived explicit forms of the effective potential $V()$ for specific $f()$ functions.

Determined the duration and temperature of reheating in this gravity framework.

Constrained model parameters using recent astronomical observations.

Abstract

The reconstruction of an inflationary universe in the context of one $f(\phi)T$ gravity, in which $T$ corresponds to the trace of energy momentum tensor is studied. To realize this reconstruction during the inflationary epoch, we consider as attractor the scalar spectral index $n_s$ in terms of of the number of $e$-folds $N$, in the framework of the slow-roll approximation. By assuming a specific function $f(\phi)$ together with the simplest attractor $n_s(N)$, we find different expressions for the reconstructed effective potential $V(\phi)$. Additionally, we analyze the era of reheating occurs after of the reconstruction obtained during the inflationary epoch. In this scenario we determine the duration and temperature during the reheating epoch, in terms of the equation of state parameter and the observational parameters. In this context, the different parameters associated to the reconstructed model are restricted during the scenarios of inflation and reheating by considering the recent astronomical observations.