Skyrme Branes

TL;DR

This paper constructs smooth, self-gravitating 3-brane solutions in a 7-dimensional Einstein-Skyrme model, demonstrating how Skyrme fields regularize singularities in cosmic p-branes and produce asymptotically flat solutions.

Contribution

It introduces static, self-gravitating Skyrme 3-brane solutions in 7D, providing a smooth alternative to singular cosmic p-branes.

Findings

Skyrme fields smooth out singularities in cosmic p-branes

Solutions asymptotically approach flat cosmic p-brane metrics

Energy-momentum tensor falls rapidly with distance from the core

Abstract

We obtain static selfgravitating solitonic 3-brane solutions in the Einstein-Skyrme model in 7D. These solitons correspond to a smooth version of the previously discussed cosmic p-brane solutions. We show how the energy momentum tensor of the Skyrme field is able to smooth out the singularities found in the thin wall approximation and falls fast enough with the distance from the core of the object so that asymptotically approaches the flat cosmic p-brane metric.