Higher codimension braneworlds from intersecting branes

TL;DR

This paper explores intersecting brane configurations in Lovelock gravity across various dimensions, presenting the first non-singular, infinitesimally thin higher codimension braneworld solutions that incorporate backreaction effects.

Contribution

It introduces a novel framework for constructing higher codimension braneworlds with intersecting branes in Lovelock gravity, accounting for backreaction and avoiding singularities.

Findings

Existence of non-singular higher codimension braneworld solutions

Energy-momentum localized at intersections of branes

Solutions valid in arbitrary dimensions

Abstract

We study the matching conditions of intersecting brane worlds in Lovelock gravity in arbitrary dimension. We show that intersecting various codimension 1 and/or codimension 2 branes one can find solutions that represent energy-momentum densities localized in the intersection, providing thus the first examples of infinitesimally thin higher codimension braneworlds that are free of singularities and where the backreaction of the brane in the background is fully taken into account.