Interacting and Non-interacting Re\'{n}yi Holographic Dark Energy Models in DGP Braneworld

TL;DR

This paper explores interacting and non-interacting Rénnyi Holographic Dark Energy models within the DGP braneworld framework, analyzing their cosmological evolution, stability, and compatibility with observed acceleration.

Contribution

It introduces and compares RHDE models in the DGP braneworld, assessing their viability and stability for explaining cosmic acceleration.

Findings

Both models support current accelerated expansion.

Models are consistent with observed dark energy density.

Classical stability and diagnostic tests favor the models.

Abstract

We investigate both the interacting and non-interacting R\'{e}nyi Holographic Dark Energy (RHDE) models in DGP brane world framework. Cosmological parameters and their evolutions are probed to obtain realistic cosmological models. We note that both the models accommodate the present accelerating phase of expansion with the observed dark energy density. Classical stability of the cosmological model and $Om$- diagnostic are also studied to test the suitability of the cosmological models obtained in the presence of RHDE in DGP braneworld.