Bianchi-I cosmologies, magnetic fields and singularities

Abstract

We study the effects of a spatially homogenous magnetic field in Bianchi-I cosmological models. The cases of a pure magnetic field and two models with additional dust and a massless scalar field (stiff matter) are also considered. At the beginning of the cosmological evolution,i.e., in the neighborhood of the singularity, the universe is described by one of Kasner's solutions, and asymptotically by another Kasner solution when the volume of the universe tends to infinity. The transition law between these two Kasner regimes is established, and shown to coincide with the analogous law for the empty Bianchi-II universe. The universe filled with dust and a magnetic field undergoes the process of isotropization, while the presence of a massless scalar field induces a modification of the relations between Kasner indices in the two asymptotic regimes. In all of these cases, we analyze the approach to the singularity in some detail and comment on the issue of the possible singularity crossing.

13 pages, final version, to be published in Physical Reveiw D

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• Cosmology with inhomogeneous magnetic fields
• The behavior of non-linear anisotropies in bouncing Bianchi I models of loop quantum cosmology
• Primordial magnetic field limits from cosmological data
• Eternal Universe
• Duality between static spherically or hyperbolically symmetric solutions and cosmological solutions in scalar-tensor gravity
• Cosmic Jets
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Cited by in corpus (5)

• Weighing the curvature invariants
• Magnetic Bianchi-I cosmology in the Horndeski theory
• Again About Singularity Crossing In Gravitation And Cosmology
• Exact cosmological solutions with magnetic field in the theory of gravity with non-minimal kinetic coupling
• Future of Bianchi I magnetic cosmologies with kinetic matter