Phase space analysis of R\'enyi Holographic dark energy model

TL;DR

This paper analyzes the cosmological dynamics of the Rényi holographic dark energy model using phase space methods, exploring stability and evolution under various interaction scenarios.

Contribution

It introduces a phase space analysis of the Rényi holographic dark energy model considering different interaction cases, which is a novel approach in this context.

Findings

Stable hyperbolic critical points identified

Equation of state parameter evolution studied

Impact of interaction types on cosmological behavior analyzed

Abstract

Recent observational evidences point out towards a late time acceleration of the universe. In order to study the accelerated expansion, scientists have incorporated the existence of an exotic matter with negative pressure, termed as dark energy. Afterwards a new idea of dark energy have been studied depending on the holographic principle of quantum gravity, called as the Holographic Dark Energy(HDE). Later on modifying Bekestein-Hawking entropy, different generalized entropies have been proposed, one of them being R\'enyi entropy which leads to R\'enyi holographic dark energy model (RHDE). We have considered RHDE model with Hubble horizon as the IR cut off and have studied the cosmological behaviour under non interacting, linear and non-linear interacting scenarios with the help of dynamical systems analysis. We have also investigated the stability of the system around hyperbolic critical points along with the type of fluid description, evolution of equation of state parameter as well as matter and energy density parameters.