Modified Gravity on the Brane and Dark Energy

TL;DR

This paper investigates how modifications to gravity on a brane influence the dynamics of matter and dark energy in a five-dimensional warped spacetime, revealing the necessity of non-conformal matter for certain geometries.

Contribution

It introduces exact 5D solutions with modified gravity on the brane, linking specific matter fields to inhomogeneous and dark energy dynamics.

Findings

Modified gravity necessitates non-conformal matter for certain geometries.

Exact solutions connect bulk conformal fields with brane matter dynamics.

Dark energy models are influenced by brane gravity modifications.

Abstract

We analyze the dynamics of an AdS5 braneworld with matter fields when gravity is allowed to deviate from the Einstein form on the brane. We consider exact 5-dimensional warped solutions which are associated with conformal bulk fields of weight -4 and describe on the brane the following three dynamics: those of inhomogeneous dust, of generalized dark radiation, and of homogeneous polytropic dark energy. We show that, with modified gravity on the brane, the existence of such dynamical geometries requires the presence of non-conformal matter fields confined to the brane.