Holographic energy density in the Brans-Dicke teory

TL;DR

This paper explores how holographic energy density can serve as dark energy within the Brans-Dicke theory, using the future event horizon as IR cutoff and analyzing the scalar field's role in cosmic acceleration.

Contribution

It introduces a framework combining holographic energy density with Brans-Dicke theory, clarifying the scalar field's influence on dark energy dynamics.

Findings

Future event horizon acts as IR cutoff for dark energy

Brans-Dicke scalar field influences dark energy equation of state

Consistent solutions obtained using Bianchi identity

Abstract

We study cosmological applications of the holographic energy density. Considering the holographic energy density as a dynamical cosmological constant, we need the Brans-Dicke theory as a dynamical framework instead of general relativity. In this case we use the Bianchi identity as a consistency relation to obtain physical solutions. It is shown that the future event horizon as the IR cutoff provides the dark energy in the Brans-Dicke theory. Furthermore the role of the Brans-Dicke scalar is clarified in the dark energy-dominated universe by calculating its equation of state.