Smooth tensionful higher-codimensional brane worlds with bulk and brane form fields

TL;DR

This paper explores regular tensionful higher-codimensional brane world models with bulk and brane form fields, analyzing their structure, stability, and phenomenological constraints within a higher-dimensional gravity framework.

Contribution

It introduces smooth, tensionful brane solutions supported by localized form fields, extending previous models by incorporating bulk and brane form fields for regularity.

Findings

Upper bound on brane tension from phenomenological constraints

Existence of finite transverse-volume smooth solutions

Enrichment of vacuum structure with localized form fields

Abstract

Completely regular tensionful codimension-n brane world solutions are discussed, where the core of the brane is chosen to be a thin codimension-(n-1) shell in an infinite volume flat bulk, and an Einstein-Hilbert term localized on the brane is included (Dvali-Gabadadze-Porrati models). In order to support such localized sources we enrich the vacuum structure of the brane by the inclusion of localized form fields. We find that phenomenological constraints on the size of the internal core seem to impose an upper bound to the brane tension. Finite transverse-volume smooth solutions are also discussed.