Holographic dark energy models with Interactions and entropy corrections for different cutoffs in the Brans-Dicke cosmology

TL;DR

This paper explores various entropy-corrected holographic dark energy models within Brans-Dicke cosmology, analyzing their acceleration conditions, phantom phases, and stability to understand their viability in describing the universe's evolution.

Contribution

It introduces and compares interacting power-law and logarithmic entropy-corrected holographic dark energy models with different cut-offs in the Brans-Dicke framework, focusing on acceleration and stability.

Findings

Certain models exhibit acceleration without phantom phases.

Some models are classically stable at early and present times.

The Brans-Dicke parameter influences the occurrence of phantom behavior.

Abstract

In the framework of Brans-Dicke cosmology, we have studied the interacting power-law and logarithmic entropy-corrected holographic dark energy models with different cut-offs. The Brans-Dicke parameter is investigated versus the conditions for the acceleration and phantom phases to show that which entropy corrected model can exhibit acceleration with or without the phantom phase at early and present time universes. Moreover, the classical stability or instability of the interacting power-law and logarithmic entropy-corrected holographic dark energy models with different cut-offs is determined at early and present time