Power-law entropy-corrected HDE and NADE in Brans-Dicke cosmology

TL;DR

This paper explores how power-law entropy corrections influence holographic and agegraphic dark energy models within Brans-Dicke cosmology, showing they can account for current cosmic acceleration and phantom crossing.

Contribution

It introduces power-law entropy corrections into holographic and agegraphic dark energy models in Brans-Dicke theory, analyzing their cosmological implications.

Findings

Model can explain current cosmic acceleration

Equation of state can cross the phantom line

Suitable parameters enable phantom behavior

Abstract

Considering the power-law corrections to the black hole entropy, which appear in dealing with the entanglement of quantum fields inside and outside the horizon, the holographic energy density is modified accordingly. In this paper we study the power-law entropy-corrected holographic dark energy in the framework of Brans-Dicke theory. We investigate the cosmological implications of this model in detail. We also perform the study for the new agegraphic dark energy model and calculate some relevant cosmological parameters and their evolution. {As a result we find that this model can provide the present cosmic acceleration and even the equation of state parameter of this model can cross the phantom line $w_D=-1$ provided the model parameters are chosen suitably}.