Non-minimally coupled teleparallel scalar field reconstruction of matter bounce scenario

TL;DR

This paper explores a generalized teleparallel gravity theory with a scalar field to reconstruct the potential needed for a matter bounce scenario, analyzing its cosmological implications and viability.

Contribution

It introduces a novel reconstruction of scalar field potentials within $f(T,$ gravity for matter bounce cosmology, extending previous models.

Findings

Reconstructed scalar field potentials compatible with matter bounce.

Analyzed energy conditions to assess model viability.

Studied cosmological implications of two functional forms of $f(T,$)

Abstract

Teleparallel description of gravity theories where the gravity is mediated through the tetrad field and consequent torsion provide an alternative route to explain the late time cosmic speed up issue. Generalization of the teleparallel gravity theory with different functional forms of the torsion scalar $T$ leads to $f(T)$ gravity. The role of scalar field played in addressing issues in cosmology and astrophysics has developed an interest in the inclusion of a scalar field along with an interaction potential in the action. Such a generalized gravity theory is dubbed as $f(T,\phi)$ theory. We have explored such a gravity theory to reconstruct the interaction potential of the scalar field required for an extended matter bounce scenario. The cosmological implications of the reconstructed scalar field potential are studied considering two viable and well known functional forms of $f(T,\phi)$. The energy conditions of these model are discussed to assess the viability of the cosmological models.