Exploring Cosmic Evolution in R\'enyi Entropic Cosmology with Constraints from DESI DR2 BAO and GW Data

TL;DR

This paper investigates a Rnyi entropic cosmology model constrained by recent observational data, showing it can explain late-time acceleration and align with current cosmological bounds.

Contribution

It provides the first direct constraints on the Rnyi parameter bb from late-time cosmic acceleration data, demonstrating viability as an alternative to bCDM.

Findings

The Rnyi parameter bb is tightly constrained by observational data.

The model predicts H_0 and a_{m0} values consistent with current observations.

It describes late-time acceleration without crossing the phantom divide.

Abstract

We explore a cosmological model based on R\'enyi entropic corrections to the Friedmann equations and constrain it using DESI, P-BAO, CC, and gravitational-wave observations. Unlike earlier works, we obtain a direct and stringent constraint on the R\'enyi parameter $\lambda$ from late-time cosmic acceleration, with the resulting value even satisfying recent Big Bang Nucleosynthesis and baryogenesis bounds. The model predicts values of $H_0$ and $\Omega_{m0}$ that are consistent with current observational data. It provides a successful description of late-time acceleration with a quintessence-like behavior, smoothly approaching the $\Lambda$CDM limit without crossing the phantom divide. Furthermore, the statical comparisons along with the evaluation of energy conditions and stability analyses reinforce its viability as a robust alternative to the standard cosmological model.