Conformal Bulk Fields, Dark Energy and Brane Dynamics

TL;DR

This paper studies the dynamics of a spherically symmetric brane in a Randall-Sundrum model with conformal bulk fields, revealing new exact solutions and analyzing brane cosmology with dark energy.

Contribution

It introduces a new class of exact dynamical solutions for brane-world scenarios with conformal bulk matter, enhancing understanding of brane dynamics and dark energy effects.

Findings

Gravity remains bound to the brane in the new solutions

Exact solutions describe brane dynamics with conformal bulk fields

Analysis of polytropic dark energy on the brane

Abstract

In the Randall-Sundrum scenario we analyze the dynamics of a spherically symmetric 3-brane when the bulk is filled with matter fields. Considering a global conformal transformation whose factor is the $Z_2$ symmetric warp we find a new set of exact dynamical solutions for which gravity is bound to the brane. The set corresponds to a certain class of conformal bulk fields. We discuss the geometries which describe the dynamics on the brane of polytropic dark energy.