Gravity on an extended brane in six-dimensional warped flux compactifications

TL;DR

This paper investigates linearized gravity in a six-dimensional warped flux compactification model, demonstrating that four-dimensional Einstein gravity is recovered on the brane with suppressed scalar modes at long distances.

Contribution

It introduces an extended brane in a six-dimensional warped flux model to address matter source issues and shows Einstein gravity emerges at long distances.

Findings

Scalar mode suppression at long distances

Recovery of 4D Einstein gravity

Description of gravity via scalar-tensor theory

Abstract

We study linearized gravity in a six-dimensional Einstein-Maxwell model of warped braneworlds, where the extra dimensions are compactified by a magnetic flux. It is difficult to construct a strict codimension two braneworld with matter sources other than pure tension. To overcome this problem we replace the codimension two defect by an extended brane, with one spatial dimension compactified on a Kaluza-Klein circle. Our background is composed of a warped, axisymmetric bulk and one or two branes. We find that weak gravity sourced by arbitrary matter on the brane(s) is described by a four-dimensional scalar-tensor theory. We show, however, that the scalar mode is suppressed at long distances and hence four-dimensional Einstein gravity is reproduced on the brane.