R\' enyi Holographic Dark Energy in Higher Dimension Cosmology

TL;DR

This paper explores Rénnyi holographic dark energy within higher-dimensional Kaluza-Klein cosmology, analyzing both interacting and non-interacting models, and finds the non-interacting model naturally explains late-time acceleration.

Contribution

It introduces Rénnyi holographic dark energy in higher-dimensional cosmology and compares the dynamics of interacting and non-interacting models, highlighting the natural emergence of acceleration in the non-interacting case.

Findings

Non-interacting model leads to late-time acceleration without interaction.

Interacting model produces acceleration but not the observed deceleration parameter.

State-finder and Om diagnostics favor the non-interacting model.

Abstract

R\'enyi holographic dark energy (RHDE) correspondence is discussed in higher dimensional cosmology, namely Kaluza-Klein (KK) cosmology. Both interacting and non-interacting cosmological scenario are considered here. It is found that the non-interacting model naturally leads to the late accelerated universe, unlike the standard Holographic Dark Energy models in 4$D$, which requires interaction to accommodate the late-time acceleration of the universe. The interacting model produces an accelerating universe at late time albeit failing to attain the estimated present value of the deceleration parameter. The evolution of different cosmologically relevant parameters have been estimated. We consider here two diagnostic tests namely, state-finder and $Om$ diagnostics to study the non-interacting model which is more favoured in the light of recent cosmological observations. Classical stability of the cosmological models are also discussed