Restoring holographic dark energy in brane cosmology

E.N Saridakis

doi:10.1016/j.physletb.2008.01.004

Abstract

We present a generalized version of holographic dark energy arguing that it must be considered in the maximally subspace of a cosmological model. In the context of brane cosmology it leads to a bulk holographic dark energy which transfers its holographic nature to the effective 4D dark energy. As an application we use a single-brane model and we show that in the low energy limit the behavior of the effective holographic dark energy coincides with that predicted by conventional 4D calculations. However, a finite bulk can lead to radically different results.

Highlights

Holographic dark energy [1, 2, 3, 4, 5, 6, 7, 8, 9] is an interesting and ingenious idea of explaining the recently observed Universe acceleration [10]
Its framework is the black hole thermodynamics [15, 16] and the connection of the UV cut-of of a quantum field theory, which gives rise to the vacuum energy, with the largest distance of the theory [17]. Such a connection is necessary for the applicability of quantum field theory in large distances and results form the argument that the total energy of a system should not exceed the mass of a black hole of the same size, since in this case the system would collapse to a black hole violating the second law of thermodynamics
In this work we present holographic dark energy, restored to its natural foundations, and for a consistency test we apply it to a general braneworld model well studied in the literature

Summary

INTRODUCTION

Holographic dark energy [1, 2, 3, 4, 5, 6, 7, 8, 9] is an interesting and ingenious idea of explaining the recently observed Universe acceleration [10]. Its framework is the black hole thermodynamics [15, 16] and the connection (known from AdS/CFT correspondence) of the UV cut-of of a quantum field theory, which gives rise to the vacuum energy, with the largest distance of the theory [17] Such a connection is necessary for the applicability of quantum field theory in large distances and results form the argument that the total energy of a system (which entropy is in general proportional to its volume) should not exceed the mass of a black hole of the same size (which entropy is proportional to its area), since in this case the system would collapse to a black hole violating the second law of thermodynamics. In IV we discuss the physical implications of our analysis and we summarize the obtained results

HOLOGRAPHIC DARK ENERGY IN THE BULK

HOLOGRAPHIC DARK ENERGY IN GENERAL 5D BRANEWORLD MODELS

DISCUSSION-CONCLUSIONS