Bianchi II Brane-world Cosmologies (${\cal U}\geq 0$)

TL;DR

This paper analyzes the early-time behavior of Bianchi type II brane-world cosmologies with matter including a scalar field, revealing that the initial singularity is dominated by scalar field kinetics and that future dynamics may differ from general relativity.

Contribution

It provides a detailed investigation of the asymptotic properties of Bianchi II brane-world models with scalar fields, highlighting differences from classical cosmology.

Findings

Initial singularity dominated by scalar field kinetic energy

Isotropic solution represents the initial singularity in brane-worlds

Future dynamics may differ from general relativity when the cosmological constant is zero

Abstract

The asymptotic properties of the Bianchi type II cosmological model in the Brane-world scenario are investigated. The matter content is assumed to be a combination of a perfect fluid and a minimimally coupled scalar field that is restricted to the Brane. The isotropic braneworld solution is determined to represent the initial singularity in all brane-world cosmologies. Additionally, it is shown that it is the kinetic energy of the scalar field which dominates the initial dynamics in these brane-world cosmologies. It is important to note that, the dynamics of these brane-world cosmologies is not necessarily asymptotic to general relativistic cosmologies to the future in the case of a zero four-dimensional cosmological constant.