Higher-dimensional DBI Solitons

TL;DR

This paper introduces a higher-dimensional generalization of the DBI texture theory, demonstrating the existence of stable solitonic solutions and their coupling to gravity, leading to non-singular self-gravitating p-branes.

Contribution

It extends the DBI texture model to higher dimensions, showing soliton solutions evade Derrick's theorem and coupling to gravity produces smooth p-brane solutions.

Findings

Existence of stable solitons in arbitrary dimensions.

Explicit spherically symmetric solutions.

Non-singular self-gravitating p-brane configurations.

Abstract

We study the theory of a (global) texture with DBI-like Lagrangian, the higher-dimensional generalization of the previously known chiral Born-Infeld theory. This model evades Derrick's theorem and enables the existence of solitonic solutions in arbitrary D-dimensions. We explicitly show the solutions in spherically-symmetric ansatz. These are examples of extended topological solitons. We then investigate the coupling of this theory to gravity, and obtain the static self-gravitating solitonic p-brane solutions. These non-singular branes can be identified as the smooth versions of cosmic p-branes which, in the thin-wall limit, suffers from naked singularities.