Braneworlds, Conformal Fields and Dark Energy

TL;DR

This paper presents new exact 5D solutions in the Randall-Sundrum braneworld scenario with conformal bulk fields, demonstrating localized gravity and stability, applicable to models of dark energy and inhomogeneous matter.

Contribution

It introduces a novel class of exact solutions with conformal bulk fields that localize gravity and remain stable, expanding the understanding of braneworld dynamics.

Findings

New exact 5D solutions with conformal fields of weight -4

Solutions localize gravity near the brane

Solutions are stable under radion perturbations

Abstract

In the Randall-Sundrum scenario we analize the dynamics of a spherically symmetric 3-brane when matter fields propagate in the bulk. For a well defined class of conformal fields of weight -4 we determine a new set of exact 5-dimensional solutions which localize gravity in the vicinity of the brane and are stable under radion field perturbations. Geometries which describe the dynamics of inhomogeneous dust, generalized dark radiation and homogeneous polytropic dark energy are shown to belong to this set.