# Logamediate Inflation in f(T) Teleparallel Gravity

## TL;DR

This paper explores logamediate inflation within $f(T)$ teleparallel gravity, demonstrating its compatibility with observational data, unlike in standard Einstein gravity, by analyzing a specific $f(T)$ model with a scalar field.

## Contribution

It introduces a specific $f(T)$ gravity model with a scalar field and shows that logamediate inflation can fit observational data in this framework, unlike in standard gravity.

## Key findings

- Logamediate inflation is compatible with Planck data in $f(T)$-gravity.
- A power-law $f(T)$ function supports inflation consistent with observations.
- Standard Einstein gravity rules out logamediate inflation based on observational constraints.

## Abstract

We study logamediate inflation in the context of $f(T)$ teleparallel gravity. $f(T)$-gravity is a generalization of the teleparallel gravity which is formulated on the Weitzenb\"{o}ck spacetime, characterized by the vanishing curvature tensor (absolute parallelism) and the non-vanishing torsion tensor. We consider an $f(T)$-gravity model which is sourced by a canonical scalar field. Assuming a power-law $f(T)$ function in the action, we investigate an inflationary universe with a logamediate scale factor. Our results show that, although logamediate inflation is completely ruled out by observational data in the standard inflationary scenario based on Einstein gravity, it can be compatible with the 68\% confidence limit joint region of Planck 2015 TT,TE,EE+lowP data in the framework of $f(T)$-gravity.