Power-law and Logarithmic Entropy Corrected Holographic Dark Energy Models in Brans-Dicke Cosmology with Granda-Oliveros Cut-Off

TL;DR

This paper explores the cosmological effects of entropy-corrected holographic dark energy models within Brans-Dicke theory, analyzing their behavior with a specific infrared cutoff and examining various limiting cases and diagnostics.

Contribution

It introduces and analyzes Power Law and Logarithmic Entropy Corrected Holographic Dark Energy models in Brans-Dicke cosmology using the Granda-Oliveros cutoff, including their limiting cases and diagnostic tools.

Findings

Derived expressions for EoS parameter, deceleration parameter, and energy density evolution.

Analyzed models in non-flat universe with and without interaction.

Explored limiting cases including Einstein gravity and Ricci scale.

Abstract

In this paper, the cosmological implications of the Power Law Entropy Corrected Holographic Dark Energy (PLECHDE) and the Logarithmic Entropy Corrected Holographic Dark Energy (LECHDE) models in the context of Brans-Dicke (BD) cosmology for both non-interacting and interacting DE and Dark Matter (DM) are studied. As the system infrared cut-off, we choose the recently proposed Granda-Oliveros cut-off, which contains a term proportional to the first time derivative of the Hubble parameter and one term proportional to $H^2$, i.e. the Hubble parameter squared. We obtain the expressions of three quantities, i.e. the Equation of State (EoS) parameter $\omega_D$, the deceleration parameter $q$ and the evolutionary form of the energy density parameter $\Omega'_D$ of the PLECHDE and LECHDE models in a non-flat Universe for non-interacting and interacting DE and DM as well. Moreover, we investigate the limiting cases corresponding to: a) absence of entropy corrections; b) Einstein's gravity; and c) concomitantly absence of entropy corrections and Einstein's gravity. Furthermore, we consider the limiting case corresponding to the Ricci scale, which is recovered for some particular values of the parameters characterizing the Granda-Oliveros scale. We also study the statefinder diagnostic and the cosmographic parameters for both models considered in this work.