Logamediate Inflation in f(T) Teleparallel Gravity

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.