We study gravity in codimension-2 brane world scenarios with infinite volum
e 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 back.-rounds we can effectively have the Einstein-H
ilbert term on the brane at the classical level if we include higher curvat
ure (Gauss-Bonnet) terms in the bulk. Alternatively, such a term would be g
enerated at the quantum level if the brane matter is not conformal. We stud
y (linearized) gravity in the presence of the Einstein-Hilbert term on the
brane in such back-rounds. We find that, just as in the original codimensio
n-2 Dvali-Gabadadze model with a tensionless brane, gravity is almost compl
etely localized on the brane with ultra-li-ht modes penetrating into the bu
lk. (C) 2001 Published by Elsevier Science B.V.