Numerical analysis of the generalized Starobinsky inflationary model

TL;DR

This paper numerically analyzes a generalized Starobinsky inflation model with a parameter p, identifying a specific p value that aligns with observational cosmological data.

Contribution

It introduces a numerical approach to determine the parameter p in a generalized inflationary model that best fits observational data.

Findings

p=1.0004 reproduces observed cosmological parameters

The model aligns with current observational data

Numerical methods effectively constrain inflationary model parameters

Abstract

In this work we study numerically one kind of generalization of the Starobinsky inflationary model (power-law type), which is characterized by the parameter $p$. In order to find the parameter $p$ that fixes with observations, we compute the cosmological parameters $A_S$, $n_S$, and $r$ for several values of $p\simeq 1$. We have found that the value of $p=1.0004$ reproduces the value of $A_S$, $n_\sca$, and $r$ in agreement with current observational data.