Dynamics of a magnetized Bianchi I universe with vacuum energy

Abstract

We make use of a flat, axisymmetric Bianchi I metric to investigate the effects of a magnetic field upon the dynamics of the universe for the case in which the accompanying fluid is a cosmological constant and derive two exact solutions to the dynamical equations for this situation. We examine the behaviour of the scale factor perpendicular and parallel to the field lines, A(t) and W(t) respectively, and find the expected behaviour. The field has the strongest effect when A(t) is small, decelerating collapse perpendicular to the field lines, due to magnetic pressure, and accelerating collapse along the field lines, due to magnetic tension, while the vacuum energy dominates at late time, driving accelerated expansion.

13 pages, 4 figures. Added references, corrected equations & extended discussion. To be published in CQG

References in corpus (3)

• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Generation of Cosmological Seed Magnetic Fields from Inflation with Cutoff
• Dynamics of a magnetized Bianchi I universe with vacuum energy

Cited by in corpus (10)

• Cosmology with inhomogeneous magnetic fields
• Anisotropic Dark Energy: Dynamics of Background and Perturbations
• Anisotropic Universe Models in f(T) Gravity
• Dynamics of Bianchi I Universe with Magnetized Anisotropic Dark Energy
• Effects of Electromagnetic Field on the Dynamics of Bianchi type $V{I}_0$ Universe with Anisotropic Dark Energy
• Generalized uncertainty principle in Bianchi type I quantum cosmology
• Dynamics of a magnetized Bianchi I universe with vacuum energy
• Stability analysis of two-fluid dark energy models
• Gravitational collapse and entropy of Black Holes with magnetic sources
• Semiclassical Length Measure from a Quantum-Gravity Wave Function