We study the fluctuation spectrum of linearized gravity around non-fine-tun
ed branes. We focus on the case of an AdS(4) brane in AdS(5). In this case,
for small cosmological constant, the warp factor near the brane is essenti
ally that of a Minkowski brane. However, far from the brane, the metric dif
fers substantially. The space includes the AdS(5) boundary, so it has infin
ite volume. Nonetheless, for sufficiently small AdS4 cosmological constant,
there is a bound state graviton in the theory, and four-dimensional gravit
y is reproduced. However, it is a massive bound state that plays the role o
f the four-dimensional graviton.