Gravity on a 3-brane in 6D bulk

We study gravity in codimension-2 brane world scenarios with infinite volume extra dimensions. In particular, we consider the case where the brane has non-zero tension. The extra space then is a two-dimensional “wedge” with a deficit angle. In such backgrounds we can effectively have the Einstein–Hilbert term on the brane at the classical level if we include higher curvature (Gauss–Bonnet) terms in the bulk. Alternatively, such a term would be generated at the quantum level if the brane matter is not conformal. We study (linearized) gravity in the presence of the Einstein–Hilbert term on the brane in such backgrounds. We find that, just as in the original codimension-2 Dvali–Gabadadze model with a tensionless brane, gravity is almost completely localized on the brane with ultra-light modes penetrating into the bulk.