# Inflation in the R\'{e}nyi cosmology

## TL;DR

This paper explores how Rényi entropy-based modifications to Friedmann equations can account for both the current accelerated expansion and primordial inflation in cosmology, suggesting a unified entropic approach.

## Contribution

It introduces a novel Rényi entropy framework to describe cosmic acceleration and inflation, highlighting differences from traditional Bekenstein entropy models.

## Key findings

- Corrections from Rényi entropy can model both inflationary and current acceleration eras.
- A hypothetical fluid with classically unstable properties supports these cosmic phases.
- Parameter values for the fluid differ between inflation and current acceleration scenarios.

## Abstract

The description of the accelerated phases for the current and primordial cosmos has been obtained in the framework of R\'{e}nyi cosmology. The results show that corrections to the Friedmann equations, originated from differences between R\'{e}nyi and Bekenstein entropies, can describe both the current accelerated and inflationary eras. The effects of these corrections can be appointed to a hypothetical fluid which is classically unstable. Although inflation can be obtained in R\'{e}nyi cosmology as the vacuum solution, the values found for the parameters of the hypothetical fluid which supports the current accelerated and primary inflationary cosmos differ from each other.