Quintessence and Brane world scenarios

TL;DR

This paper investigates the potential for quintessence within dilatonic domain walls and brane world scenarios, concluding that the zero mode approach cannot produce an accelerating universe due to negative potentials.

Contribution

It analyzes the zero mode effective action in dilatonic domain walls and demonstrates the inability to generate quintessence with negative potentials in these models.

Findings

Negative potentials prevent acceleration in the model

Zero mode approach cannot realize quintessence in dilatonic domain walls

Models considered do not support an accelerating universe

Abstract

We discuss the possibility of quintessence in the dilatonic domain walls including the Randall-Sundrum brane world. We obtain the zero mode effective action for gravitating objects in the dilatonic domain wall. First we consider the four dimensional (4D) gravity and the Brans-Dicke graviscalar with a potential. This can be further rewritten as a minimally coupled scalar with the Liouville-type potential in the Einstein frame. However this model fails to induce the quintessence on the dilatonic domain wall because the potential is negative. Second we consider the 4D gravity with the dilaton. In this case we find also a negative potential. Any negative potential gives us negative energy density and positive pressure, which does not lead to an accelerating universe. Consequently it turns out that the zero mode approach of the dilatonic domain wall cannot accommodate the quintessence in cosmology.