Localization of gravity on a brane embedded in AdS₅ and dS ₅

We address the localization of gravity on the Friedmann-Robertson-Walker type brane embedded in either AdS₅ or dS₅ bulk space, and derive two definite limits between which the value of the bulk cosmological constant has to lie in order to localize the graviton on the brane. The lower limit implies that the brane should be either dS₄ or 4D Minkowski in the AdS₅ bulk. The positive upper limit indicates that the gravity can be trapped also on a curved brane in the dS₅ bulk space. Some implications for recent cosmological scenarios are also discussed.