Black hole and holographic dark energy

TL;DR

This paper explores the relationship between black holes and holographic dark energy, deriving the equation of state for dark energy from black hole properties and proposing a regular black hole model for an accelerating universe.

Contribution

It introduces a connection between black hole energy density and holographic dark energy, deriving the dark energy equation of state using black hole dual systems and a regular black hole model.

Findings

Holographic dark energy with cosmological horizon as IR cutoff yields a universe dominated by dark energy.

The equation of state parameter for dark energy is found to be approximately -1.

A regular black hole model without singularity can describe an accelerating universe.

Abstract

We discuss the connection between black hole and holographic dark energy. We examine the issue of the equation of state (EOS) for holographic energy density as a candidate for the dark energy carefully. This is closely related to the EOS for black hole, because the holographic dark energy comes from the black hole energy density. In order to derive the EOS of a black hole, we may use its dual (quantum) systems. Finally, a regular black hole without the singularity is introduced to describe an accelerating universe inside the cosmological horizon. Inspired by this, we show that the holographic energy density with the cosmological horizon as the IR cutoff leads to the dark energy-dominated universe with $\omega_{\rm \Lambda}=-1$.