Dynamics of magnetic Bianchi VI 0 cosmologies

Publisher Website
Google Scholar
Abstract
Methods of dynamical systems analysis are used to show rigorously that the presence of a magnetic field orthogonal to the two commuting Killing vector fields in any spatially homogeneous Bianchi type VI0 vacuum solution to Einstein's equation changes the evolution toward the singularity from convergent to oscillatory. In particular, it is shown that the -limit set (for the time direction that puts the singularity in the past) of any of these magnetic solutions contains at least two sequential Kasner points of the Belinskii-Khalatnikov-Lifshitz sequence and the orbit of the transition solution between them. One of the Kasner points in the -limit set is non-flat, which leads to the result that each of these magnetic solutions has a curvature singularity.

This publication has 16 references indexed in Scilit: