Global Black p - Brane World : A New Approach to Stable Mass Hierarchy 1

abstract We find a class of extremal black hole-like global p-brane in higher-dimensional gravity with a negative cosmological constant. The region inside the p-brane horizon possesses all essential features required for the Randall-Sundrum-type brane world scenario. The setup allows to interpret the horizon size as the compactification size in that the Planck scale M Pl is determined by the fundamental scale M * and the horizon size r H via the familiar relation M 2 Pl ∼ M 2+n * r n H , and the gravity behaves as expected in a world with n-extra dimensions compactified with size r H. Most importantly, a stable mass hierarchy between M Pl and M * can be generated from topological charge of the p-brane and the horizon size r H therein. We also offer a new perspective on various issues associated to the brane world scenarios including the cosmological constant problem.