Localizing gravity on a 't Hooft-Polyakov monopole in seven dimensions

TL;DR

This paper finds regular solutions for a seven-dimensional brane world with a 't Hooft-Polyakov monopole, demonstrating gravity localization for both signs of the bulk cosmological constant and analyzing the parameter space for such solutions.

Contribution

It introduces new regular solutions for gravity localization in a seven-dimensional monopole setup, extending previous models to include both signs of the cosmological constant.

Findings

Gravity can be localized in seven dimensions with a monopole configuration.

Solutions exist for both positive and negative bulk cosmological constants.

Analysis of parameter space reveals conditions for gravity localization.

Abstract

We present regular solutions for a brane world scenario in the form of a 't Hooft-Polyakov monopole living in the three-dimensional spherical symmetric transverse space of a seven-dimensional spacetime. In contrast to the cases of a domain-wall in five dimensions and a string in six dimensions, there exist gravity-localizing solutions for both signs of the bulk cosmological constant. A detailed discussion of the parameter space that leads to localization of gravity is given. A point-like monopole limit is discussed.