Inflating branes inside abelian strings

TL;DR

This paper explores a 6D brane world model with an abelian string, providing analytic solutions for static and inflating branes, including regular and singular space-times, and analyzing the effects of bulk cosmological constant.

Contribution

It offers new analytic solutions for inflating branes within a 6D model, including regular cigar-like universes and periodic metrics, expanding understanding of brane cosmology.

Findings

Analytic solutions for static and inflating branes

Existence of regular cigar-like universe solutions

Solutions depend on the sign of the bulk cosmological constant

Abstract

We study a 6-dimensional brane world model with an abelian string residing in the two extra dimensions. We study both static as well as inflating branes and find analytic solutions for the case of trivial matter fields in the bulk. Next to singular space-times, we also find solutions which are regular including cigar-like universes as well as solutions with periodic metric functions. These latter solutions arise if in a singular space-time a static brane is replaced by an inflating brane. We determine the pattern of generic solutions for positive, negative and zero bulk cosmological constant.