Scalar Field, Four Dimensional Spacetime Volume and the Holographic Dark Energy

TL;DR

This paper proposes a new holographic dark energy model based on a scalar field linked to the four-dimensional spacetime volume, with energy density inversely proportional to the square of a cosmic null hypersurface radius, explaining cosmic acceleration.

Contribution

It introduces a novel holographic dark energy model derived from a scalar field associated with spacetime volume and a new infrared cutoff based on a null hypersurface.

Findings

Dark energy density is inversely proportional to the square of the null hypersurface radius.

The model can describe phantom dark energy behavior for certain parameters.

The approach offers a new perspective on cosmic acceleration mechanisms.

Abstract

We explore the cosmic evolution of a scalar field which is identified with the four dimensional spacetime volume. Given a specific form for the Lagrangian of the scalar field, a new holographic dark energy model is present. The energy density of dark energy is reversely proportional to the square of the radius of the cosmic null hypersurface which is present as a new infrared cutoff for the Universe. We find this holographic dark energy belongs to the phantom dark energy for some appropriate parameters in order to interpret the current acceleration of the Universe.