Renyi Holographic dark energy and its behaviour in f(G) gravity

TL;DR

This paper investigates the behavior of Renyi holographic dark energy within f(G) gravity in an anisotropic universe, analyzing stability, cosmic acceleration, and late-time cosmological parameters using different IR cutoffs.

Contribution

It introduces a study of RHDE in f(G) gravity with anisotropic Bianchi type-I universe and compares stability and cosmological implications for different IR cutoffs.

Findings

Equation of state approaches -1 at late times.

Hubble horizon model is stable; GO horizon model is unstable.

Both models confirm accelerated expansion and resemble ΛCDM at late times.

Abstract

In this work, the Renyi holographic dark energy (RHDE)and its behaviour has been explored with the anisotropic and spatially homogeneous Bianchi type-I Universe in the framework of $f(G)$ gravity. We use IR cutoff as the Hubble and Granda-Oliveros (GO) horizons. To find a consistent solutions of the field equations of the models, it is assumed that the deceleration parameter is defined in terms of function of Hubble parameter $H$. With reference to current cosmological data, the behaviors of the cosmological parameters relating to the dark energy model are evaluated and their physical significance is examined. It is observed that for both the models, the equation of state parameter approaches to $-1$ at late times. However, the RHDE model with the Hubble horizon exhibits stability from the squared sound speed, but the RHDE model with the GO horizon exhibits instability. In both the models, deceleration parameter and statefinder diagnostic confirm the accelerated expansion of the Universe and also correspond to the $\Lambda$CDM model at late times.