Flat 3-Brane with Tension in Cascading Gravity

TL;DR

This paper demonstrates that in a 6+1-dimensional cascading gravity model, a tensioned 3-brane remains flat and the bulk solution is non-singular and perturbatively well-behaved.

Contribution

It shows that a tensioned 3-brane in cascading gravity remains flat and free of singularities within the weak-field approximation.

Findings

3-brane with tension remains flat in 6+1 dimensions

Bulk solution is non-singular and perturbative

Valid for small tension within weak-field regime

Abstract

In the Cascading Gravity brane-world scenario, our 3-brane lies within a succession of lower-codimension branes, each with their own induced gravity term, embedded into each other in a higher-dimensional space-time. In the 6+1-dimensional version of this scenario, we show that a 3-brane with tension remains flat, at least for sufficiently small tension that the weak-field approximation is valid. The bulk solution is nowhere singular and remains in the perturbative regime everywhere.