Inflation with F(T) Teleparallel Gravity

TL;DR

This paper explores a specific F(T) teleparallel gravity model that unifies early universe inflation with late-time cosmic acceleration, fitting observational data and addressing the transition between different cosmic epochs.

Contribution

It introduces a novel F(T) gravity framework that successfully models both inflation and late-time acceleration within a single theory, aligning with current observational constraints.

Findings

Inflationary parameters match Planck data.

The model achieves sub-Planckian inflation energy scale.

Unification of early and late cosmic acceleration is demonstrated.

Abstract

We study early universe with a particular form of F(T) Telleparallel gravity theory, in which inflation is driven by a scalar field. To ensure slow rollover, two different potentials are chosen in a manner, such that they remain almost flat for large initial value of the scalar field. Inflationary parameters show wonderful fit with the presently available Planck's data set. The energy scale of inflation is sub-Planckian and graceful exit from inflation is also administered. The chosen form of F(T) administers late-time cosmic acceleration too. In the process, unification of the early inflation with late-time acceleration is ensured. Unfortunately, a decelerated radiation dominated era is only possible with a different form of (quartic) potential, which being devoid of a flat section does not admit slow rollover.