Approach to exact solutions of cosmological perturbations: Tachyon field inflation

TL;DR

This paper investigates exact solutions for cosmological perturbations during tachyon field-driven inflation, analyzing two models and constraining parameters using Planck data.

Contribution

It provides detailed analytical solutions for scalar and tensor perturbations in tachyon inflation models and links the effective potential to tachyonic properties.

Findings

Analytical solutions for perturbations in two tachyon inflation models.

Effective potentials satisfy tachyonic properties.

Planck data constrains model parameters.

Abstract

An inflationary universe scenario in the context of tachyon field is studied. This study is done from an ansantz for the effective potential of cosmological perturbations $U(\eta)$. We describe in great detail the analytical solutions of the scalar and tensor perturbations for two different ansantz in the effective potential of cosmological perturbations; the Easther's model and an effective potential similar to power law inflation. Also we find from the background equations that the effective tachyonic potential $V(\varphi)$, in both models satisfy the properties of a tachyonic potential. We consider the recent data from the Planck data to constrain the parameters in our effective potential of cosmological perturbations.