Magnetic Brane-worlds

TL;DR

This paper explores magnetic brane-world models with perfect fluids, revealing new asymptotic behaviors and classifying critical points, showing that chaos typical in Einstein models may be suppressed in brane-world scenarios.

Contribution

It extends previous work on magnetic brane-worlds, identifying novel properties and behaviors in Bianchi type I models, especially near singularities.

Findings

New asymptotic behaviors near singularity

Classification of critical points in phase space

Chaotic oscillations are suppressed in brane-world models

Abstract

We investigate brane-worlds with a pure magnetic field and a perfect fluid. We extend earlier work to brane-worlds, and find new properties of the Bianchi type I brane-world. We find new asymptotic behaviours on approach to the singularity and classify the critical points of the dynamical phase space. It is known that the Einstein equations for the magnetic Bianchi type I models are in general oscillatory and are believed to be chaotic, but in the brane-world model this chaotic behaviour does not seem to be possible.