Brane-world asymptotics in a nonlinear fluid bulk

TL;DR

This paper investigates the asymptotic behavior of a brane-world model with a nonlinear fluid in the bulk, demonstrating conditions under which gravity can be localized on the brane, improving upon previous linear models.

Contribution

It introduces a nonlinear equation of state for bulk fluid and shows how it enables regular, energy-condition-compatible solutions that localize gravity, advancing brane-world asymptotic analysis.

Findings

Regular solutions exist for certain equation of state parameters.

Gravity can be successfully localized on the brane.

Nonlinear bulk fluid models outperform linear ones in this context.

Abstract

We present recent results on the asymptotics of a brane-world that consists of a flat 3-brane embedded in a five-dimensional bulk. The bulk matter is modelled by a fluid that satisfies a nonlinear equation of state. We show that for appropriate ranges of the equation of state parameters, it is possible to construct a regular solution, compatible with energy conditions, that successfully localizes gravity on the brane. These results improve significantly previous findings on the study of a bulk fluid with a linear equation of state.