Solitons in Brane Worlds

We study some aspects of dilatonic domain walls in relation to the Randall-Sundrum model on noncompact internal space. We construct fully localized supergravity solutions describing extreme dilatonic branes within extreme dilatonic domain walls and the BPS branes within the BPS domain walls of string theories. These solutions are valid in any region of spacetime, not just in the region close to the domain walls.