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 VII0, 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 VII0 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 VII0 cosmologies exhibit the phenomena of asymptotic self-similarity breaking and Weyl curvature dominance in the late-time regime.
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Horwood, J.T., Wainwright, J. Asymptotic Regimes of Magnetic Bianchi Cosmologies. General Relativity and Gravitation 36, 799–823 (2004). https://doi.org/10.1023/B:GERG.0000016925.78122.73
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DOI: https://doi.org/10.1023/B:GERG.0000016925.78122.73