Chaos and Brane-worlds

TL;DR

This paper investigates the early-time behavior of anisotropic brane-world models, showing that isotropic singularities require specific fluid conditions and that magnetic Bianchi type I models do not exhibit chaos as in classical Einstein models.

Contribution

It provides new insights into the initial singularity conditions and the absence of chaos in magnetic Bianchi type I brane-world models.

Findings

Initial singularity cannot be isotropic without stiff isotropic fluid.

Magnetic Bianchi type I brane-world models lack chaotic behavior.

Chaotic oscillations are suppressed in brane-world scenarios.

Abstract

The early time behaviour of brane-world models is analysed in the presence of anisotropic stresses. It is shown that that the initial singularity cannot be isotropic, unless there is also an isotropic fluid stiffer than radiation present. Also, a magnetic Bianchi type I brane-world is analysed in detail. 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.