Bianchi type I universes with dilaton and magnetic fields

Abstract

We consider the dynamics of a Bianchi type I spacetime in the presence of dilaton and magnetic fields. The general solution of the Einstein-Maxwell dilaton field equations can be obtained in an exact parametric form. Depending on the numerical values of the parameters of the model there are three distinct classes of solutions. The time evolution of the mean anisotropy, shear and deceleration parameter is considered in detail and it is shown that a magnetic-dilaton anisotropic Bianchi type I geometry does not isotropize, the initial anisotropy being present in the universe for all times.

10 pages, 4 figures

References in corpus (6)

• Pre-Big-Bang in String Cosmology
• Superstring Cosmology
• Bianchi Type I Cosmologies in Arbitrary Dimensional Dilaton Gravities
• Fully Anisotropic String Cosmologies, Maxwell Fields and Primordial Shear
• Anisotropic Four-Dimensional NS-NS String Cosmology
• Homogeneous magnetic fields in fully anisotropic string cosmological backgrounds

Cited by in corpus (6)

• Gravitational Decoupled Anisotropic Solutions in $f(\mathcal{G})$ Gravity
• Magneto-dilatonic Bianchi-I cosmology: isotropization and singularity problems
• Multi-horizon spherically symmetric spacetimes with several scales of vacuum energy
• (An)Isotropic models in scalar and scalar-tensor cosmologies
• Bianchi Type-V and VI${}_0$ Universes with Dilaton and Magnetic Fields
• Bianchi {VI}${}_0$ in Scalar and Scalar-Tensor Cosmologies