Approach to exact solutions of cosmological perturbations: Tachyon field inflation

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 $V(\phi )$, 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.

19 pages and 4 figures

References in corpus (5)

• BICEP2 I: Detection Of B-mode Polarization at Degree Angular Scales
• BICEP2 II: Experiment and Three-Year Data Set
• Holographic tachyon model of dark energy
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• Reconstructing G-inflation: From the attractors $n_S(N)$ and $r(N)$
• Reconstructing k-essence: Unifying the attractor $n_S(N)$ and the swampland criteria
• Constraints on tachyon inflationary models with an AdS/CFT correspondence
• Reconstruction and exact solutions for cosmological perturbations from a generalized gravity theory