On a stabilized warped brane world without Planck brane

TL;DR

This paper presents a stabilized two-brane model with warped extra dimensions where gravitational strength is similar on both branes, offering a novel approach to the hierarchy problem and dark matter considerations.

Contribution

It introduces a stabilized brane world model that maintains equal gravitational strength on both branes, differing from the Randall-Sundrum model.

Findings

Gravitational interaction strength is comparable on both branes.

The model addresses the hierarchy problem via warped extra dimensions.

Potential implications for dark matter through mirror branes.

Abstract

We discuss a stabilized brane world model with two branes, admitting the solution to the hierarchy problem due to the warped extra dimension and possessing a remarkable feature: the strength of gravitational interaction is of the same order on both branes, contrary to the case of the Randall-Sundrum model with a hierarchical difference of gravitational strength on the branes. The solution also admits the existence of two branes with an equal strength of gravitational interaction, which is of interest for treating the matter on the "mirror" brane as dark matter.