Quasilocalization of gravity on a brane by resonant modes

We examine the behavior of gravity in brane theories with extra dimensions in a nonfactorizable background geometry. We find that for metrics which ar e asymptotically flat: far from the brane there is a resonant graviton mode at zero energy. The presence of this resonance ensures quasilocalization o f gravity, whereby at intermediate scales the gravitational laws on the bra ne are approximately four dimensional. However, for scales larger than the lifetime of the graviton resonance the five-dimensional laws of gravity wil l be reproduced due to the decay of the four-dimensional graviton. We also give a simple classification of effective gravity theories for general back ground geometries.