Holographic Cosmic Quintessence on Dilatonic Brane World

TL;DR

This paper explores the possibility of holographic quintessence as a form of dark energy in brane world scenarios, deriving constraints on bulk potentials and examining effects like a varying Newton constant.

Contribution

It introduces a holographic approach to quintessence in dilatonic brane worlds, deriving conditions on bulk potentials and analyzing dynamic brane effects.

Findings

Requires negative, slowly varying bulk potential for quintessence

Bulk geometry is anti-de Sitter-like

Quintessence induces a mildly time-varying Newton constant

Abstract

Recently quintessence is proposed to explain the observation data of supernova indicating a time-varying cosmological constant and accelerating universe. Inspired by this and its mysterious origin, we look for the possibility of quintessence as the holographic dark matters dominated in the late time in the brane world scenarios. We consider both the cases of static and moving brane in a dilaton gravity background. For the static brane we use the Hamilton-Jacobi method motivated by holographic renormalization group to study the intrinsic FRW cosmology on the brane and find out the constraint on the bulk potential for the quintessence. This constraint requires a negative slowly varying bulk potential which implies an anti-de Sitter-like bulk geometry and could be possibly realized from the higher dimensional supergravities or string theory. We find the similar constraint for the moving brane cases and that the quintessence on it has the effect as a mildly time-varying Newton constant.