Hamilton-Jacobi Formalism for Tachyon Inflation

TL;DR

This paper applies the Hamilton-Jacobi formalism to tachyon inflation models, using recent observational data to constrain the model parameters and identify suitable potential forms and spectral indices.

Contribution

It introduces the Hamilton-Jacobi approach to tachyon inflation and analyzes power-law and exponential Hubble parameter functions with observational constraints.

Findings

Suitable tensor spectral index values obtained

Appropriate potential forms identified

Model constraints consistent with Planck-2013 and BICEP2 data

Abstract

Tachyon inflation is reconsidered by using the recent observational data obtained from Planck-2013 and BICEP2. The Hamilton-Jacobi formalism is picked out as a desirable approach in this work, which allows one to easily obtain the main parameters of the model. The Hubble parameter is supposed as a power-law and exponential function of the scalar field, and each case is considered separately. The constraints on the model, which come from observational data, are explained during the work. The results show a suitable value for the tensor spectral index and an appropriate form of the potential.