Brane-bulk matter relation for a purely conical codimension-2 brane world

TL;DR

This paper investigates gravity on a thin, conical codimension-2 brane with induced gravity, revealing a strong link between bulk and brane energy-momentum tensors, and explores how this relation changes with Gauss-Bonnet corrections.

Contribution

It demonstrates the direct relation between bulk and brane energy-momentum tensors in a codimension-2 brane model and analyzes the impact of Gauss-Bonnet terms on this relation.

Findings

Gravity on the brane is induced by bulk content in the conical approximation.

The strong bulk-brane energy-momentum relation is modified by Gauss-Bonnet terms.

Contrast with codimension-1 branes where gravity dynamics differ.

Abstract

We study gravity on an infinitely thin codimension-2 brane world, with purely conical singularities and in the presence of an induced gravity term on the brane. We show that in this approximation, the energy momentum tensor of the bulk is strongly related to the energy momentum tensor of the brane and thus the gravity dynamics on the brane are induced by the bulk content. This is in contrast with the gravity dynamics on a codimension-1 brane. We show how this strong result is relaxed after including a Gauss-Bonnet term in the bulk.