Numerical Calculation of Hubble Hierarchy Parameters and Observational Parameters of Inflation

TL;DR

This paper introduces a software tool for numerically calculating key inflationary parameters in various cosmological models and compares the results with recent observational data from Planck.

Contribution

A new C/C++ software program that computes inflationary parameters for standard, tachyon, and Randall-Sundrum models, integrating numerical methods and data analysis.

Findings

Numerical values of inflation parameters match Planck observations.

Software effectively computes scalar spectral index and tensor-to-scalar ratio.

Comparison highlights model compatibility with observational data.

Abstract

We present results obtained by a software we developed for computing observational cosmological inflation parameters: the scalar spectral index ($n_s$) and the tensor-to-scalar ratio ($r$) for a standard single field and tachyon inflation, as well as for a tachyon inflation in the second Randall-Sundrum model with an additional radion field. The calculated numerical values of observational parameters are compared with the latest results of observations obtained by the Planck Collaboration. The program is written in C/C++. The \textit{GNU Scientific Library} is used for some of the numerical computations and R language is used for data analysis and plots.