Braneworlds and Dark Energy

TL;DR

This paper investigates the dynamics of an AdS5 braneworld with conformal matter fields, revealing stable geometries that model various dark energy and dark radiation scenarios, and discusses gravity localization and radion stability.

Contribution

It introduces a novel analysis of conformal matter fields of weight -4 in the Randall-Sundrum model, linking them to stable inhomogeneous and homogeneous dark energy configurations.

Findings

Conformal fields of weight -4 lead to stable geometries.

Models include inhomogeneous dust, dark radiation, and polytropic dark energy.

Gravity localization and radion stability are addressed.

Abstract

In the Randall-Sundrum scenario, we analyse the dynamics of an AdS5 braneworld when conformal matter fields propagate in five dimensions. We show that conformal fields of weight -4 are associated with stable geometries which describe the dynamics of inhomogeneous dust, generalized dark radiation and homogeneous polytropic dark energy on a spherically symmetric 3-brane embedded in the compact AdS5 orbifold. We discuss aspects of the radion stability conditions and of the localization of gravity in the vicinity of the brane.