New infrared cut-off for the holographic scalar fields models of dark energy

L.N Granda,A Oliveros

doi:10.1016/j.physletb.2008.12.025

Abstract

Introducing a new infrared cut-off for the holographic dark-energy, we study the correspondence between the quintessence, tachyon, K-essence and dilaton energy density with this holographic dark energy density in the flat FRW universe. This correspondence allows to reconstruct the potentials and the dynamics for the scalar fields models, which describe accelerated expansion.

Highlights

Recent astrophysical data from distant Ia supernovae, Large Scale Structure and Cosmic Microwave Background observations [1],[2],[3], [4], [5] show that the current Universe is expanding, it is accelerating due to some kind of negative-pressure form of matter known as dark energy ([6],[7])
Other scalar field models proposed to explain the nature of the dark energy, are related with K-essence models based on scalar field with non-standard kinetic term [12],[13]; string theory fundamental scalars known as tachyon [14] and dilaton [15]; scalar field with negative kinetic energy, which provides a solution known as phantom dark energy [16]
In this paper, using the correspondence with the holographic dark energy density we find the explicit form of the fields and potentials for the quintessence, tachyon, K-essence and dilaton fields, which determine the cosmological dynamics of this models

Summary

Introduction

Recent astrophysical data from distant Ia supernovae, Large Scale Structure and Cosmic Microwave Background observations [1],[2],[3], [4], [5] show that the current Universe is expanding, it is accelerating due to some kind of negative-pressure form of matter known as dark energy ([6],[7]). Other scalar field models proposed to explain the nature of the dark energy, are related with K-essence models based on scalar field with non-standard kinetic term [12],[13]; string theory fundamental scalars known as tachyon [14] and dilaton [15]; scalar field with negative kinetic energy, which provides a solution known as phantom dark energy [16] Another class of dark energy models involve non-standard equations of state [17],[18] (for a review on above mentioned and other approaches, see [6]). In all this models of scalar fields the cosmological dynamics is defined once the potential is proposed Another alternative to the solution of the dark energy problem, is related with some facts of the quantum gravity theory known as the holographic principle ([19, 20, 21, 22, 23]). In this paper, using the correspondence with the holographic dark energy density we find the explicit form of the fields and potentials for the quintessence, tachyon, K-essence and dilaton fields, which determine the cosmological dynamics of this models

The model

Correspondence with scalar field models

Discussion