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Asymptotic Regimes of Magnetic Bianchi Cosmologies

J. T. Horwood·J. Wainwright
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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.

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J. T. Horwood, J. Wainwright. 2003-09-17. Asymptotic Regimes of Magnetic Bianchi Cosmologies. https://doi.org/10.1023/b%3Agerg.0000016925.78122.73

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