Global black p-brane world: a new approach to stable mass hierarchy

We find a class of extremal black hole-like global p-brane in higher-dimens ional gravity with a negative cosmological constant. The region inside the p-brane horizon possesses all essential features required for the Randall-S undrum type brane world scenario. The set-up allows to interpret the horizo n size as the compactification size in that the Planck scale M-Pl is determ ined by the fundamental scale M-* and the horizon size r(H) via the familia r relation M-Pl(2) similar to M(*)(2+n)r(H)(n), and the gravity behaves as expected in a world with it-extra dimensions compactified with size rH. Mos t importantly, a stable mass hierarchy between M-Pl and M-* can be generate d 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. (C) 2001 Publi shed by Elsevier Science B,V.