Asymptotic Regimes of Magnetic Bianchi Cosmologies

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.

arXiv comment26 pages, 6 figures, submitted to Gen. Rel. Grav

References in corpus (13)

• Constraints on a Primordial Magnetic Field
• The past attractor in inhomogeneous cosmology
• Asymptotic self-similarity breaking at late times in cosmology
• Mixmaster Behavior in Inhomogeneous Cosmological Spacetimes
• A Gauge-invariant Analysis of Magnetic Fields in General Relativistic Cosmology
• Magnetized cosmological perturbations
• Gauge-invariant magnetic perturbations in perfect-fluid cosmologies
• Cosmological perturbations on a magnetised Bianchi I background
• Magnetic tension and the geometry of the universe
• Late-time asymptotic dynamics of Bianchi VIII cosmologies
• Cosmic magnetism, curvature and the expansion dynamics
• Magnetized gravitational waves
• CMB limits on large-scale magnetic fields in an inhomogeneous universe

Cited by in corpus (12)

• Cosmology with inhomogeneous magnetic fields
• Classical and Quantum Features of the Mixmaster Singularity
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• The Similarity Hypothesis in General Relativity
• Cosmological models from a dynamical systems perspective
• Cosmological dynamics of magnetic Bianchi I in viable $f(R)$ models of gravity
• Isotropisation of Bianchi class A models with a minimally coupled scalar field and a perfect fluid
• Bianchi Type-V and VI${}_0$ Universes with Dilaton and Magnetic Fields
• A non-perturbative study of the evolution of cosmic magnetised sources
• Magnetic Bianchi-I cosmology in the Horndeski theory
• Future of Bianchi I magnetic cosmologies with kinetic matter
• Exact cosmological solutions with magnetic field in the theory of gravity with non-minimal kinetic coupling