Tachyon-Warm Intermediate and Logamediate Inflation in the Brane-World Model in the Light of Planck Data

TL;DR

This paper explores tachyon warm inflation on the brane with exponential potential, analyzing intermediate and logamediate expansion models, and finds compatibility with Planck and WMAP9 observational data.

Contribution

It develops a detailed tachyon warm inflation model on the brane, including perturbation spectra and tensor-scalar ratio, in the context of intermediate and logamediate expansion scenarios.

Findings

Model parameters are consistent with Planck and WMAP9 data.

Derived perturbation spectra and inflation characteristics for specific expansion models.

Demonstrated compatibility of tachyon warm inflation with observational constraints.

Abstract

Tachyon inflationary universe model on the brane in the context of warm inflation is studied. In slow-roll approximation and in longitudinal gauge, we find the primoradial perturbation spectrums for this scenario. We also present the general expressions of the tensor-scalar ratio, scalar spectral index and its running. We develop our model by using exponential potential, the characteristics of this model are calculated in great details. We also study our model in the context of intermediate (where scale factor expands as: $a=a_0\exp(At^f)$) and logamediate (where the scale factor expands as: $a=a_0\exp(A[\ln t]^{\nu})$) models of inflation. In these two sectors, dissipative parameter is considered as a constant parameter and a function of tachyon field. Our model is compatible with observational data. The parameters of the model are restricted by recent observational data from the nine-year Wilkinson microwave anisotropy probe (WMAP9) and Planck data.