Observational constraints on Tachyon inflation and reheating in f(Q) gravity

Abstract

In this work we study one of the most appealing string theory-motivated models, we present a tachyonic inflationary model in the recently proposed symmetric teleparallel framework, and examine constraints on tachyon inflation with the exponential potential along with the reheating for a chosen $f(Q)$ gravity model. Considering a reheating phase parametrized by a number of e-folds $N_{re},$ a temperature $T_{re}$, and an equation of state $\omega _{re}$, we relate the reheating parameters as functions of the exponential tachyon potential, $f(Q)$ model, and\ the spectral index $n_{s}$ parameters. We argue that our model predicts inflationary e-folds bounded as $50\leq N\leq 64$. While for the reheating phase, wide ranges of reheating e-folds numbers and temperatures can be obtained as we increase $\omega_{re} $ towards the value $1/4$ according to recent Planck Data.