Asymptotic Regimes of Magnetic Bianchi Cosmologies

TL;DR

This paper investigates the long-term behavior of magnetic Bianchi cosmologies, revealing oscillatory approaches to singularities and phenomena like asymptotic self-similarity breaking and Weyl curvature dominance.

Contribution

It provides the first detailed analysis of Bianchi type VII_{0} models with magnetic fields, showing their unique asymptotic dynamics and late-time phenomena.

Findings

Magnetic Bianchi VII_{0} models approach the singularity oscillatory.

They exhibit asymptotic self-similarity breaking.

Weyl curvature dominates in late-time regimes.

Abstract

We consider the asymptotic dynamics of the Einstein-Maxwell field equations for the class of non-tilted Bianchi cosmologies with a barotropic perfect fluid and a pure homogeneous source-free magnetic field, with emphasis on models of Bianchi type VII_{0}, which have not been previously studied. Using the orthonormal frame formalism and Hubble-normalized variables, we show that, as is the case for the previously studied class A magnetic Bianchi models, the magnetic Bianchi VII_{0} cosmologies also exhibit an oscillatory approach to the initial singularity. However, in contrast to the other magnetic Bianchi models, we rigorously establish that typical magnetic Bianchi VII_{0} cosmologies exhibit the phenomena of asymptotic self-similarity breaking and Weyl curvature dominance in the late-time regime.