Locally localized gravity

We study the fluctuation spectrum of linearized gravity around non-fine-tuned 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 essentially that of a Minkowski brane. However, far from the brane, the metric differs substantially. The space includes the AdS(5) boundary, so it has infinite volume. Nonetheless, for sufficiently small AdS(4) cosmological constant, there is a bound state graviton in the theory, and four-dimensional gravity is reproduced. However, it is a massive bound state that plays the role of the four-dimensional graviton.