Curved dilatonic brane-worlds and the cosmological constant problem

TL;DR

This paper develops a model for curved dilatonic brane worlds with a non-zero cosmological constant, analyzing their stability and comparing them to existing solutions in the context of the cosmological constant problem.

Contribution

It introduces a new class of solutions for dilatonic brane worlds with constant curvature and examines their stability under quantum fluctuations.

Findings

Derived explicit relations between brane curvature, dilaton coupling, and bulk cosmological constant.

Compared new solutions with existing dilatonic domain wall models.

Assessed the stability of solutions using a self-tuning mechanism.

Abstract

We construct a model for dilatonic brane worlds with constant curvature on the brane, i.e. a non-zero four-dimensional cosmological constant, given in function of the dilaton coupling and the cosmological constant of the bulk. We compare this family of solutions to other known dilatonic domain wall solutions and apply a self-tunning mechanism to check the stability of our solutions under quantum fluctuations living on the brane.