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

TL;DR

This paper introduces a new class of extremal global p-branes in higher-dimensional gravity that can naturally generate a stable mass hierarchy and replicate Randall-Sundrum-like gravity behavior, offering insights into brane world scenarios and the cosmological constant problem.

Contribution

It presents a novel extremal global p-brane model that achieves a stable mass hierarchy and mimics Randall-Sundrum scenarios within a higher-dimensional framework.

Findings

Stable mass hierarchy can be generated from topological charge and horizon size.

The model reproduces expected gravitational behavior in extra dimensions.

Provides a new perspective on brane world issues including the cosmological constant.

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 set-up allows to interpret the horizon size as the compactification size in that the Planck scale is determined by the fundamental scale M* and the horizon size r_H via the familiar relation M_Pl^2 ~ M*^{2+n} r_{H}^n, 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.