Asymptotic Regimes of Magnetic Bianchi Cosmologies

Details Asymptotic Regimes of Magnetic Bianchi Cosmologies Asymptotic Regimes of Magnetic Bianchi Cosmologies

2003-09-17

arxiv.org/abs/gr-qc/0309083v1

Gen.Rel.Grav. 36 (2004) 799-823

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, 6 figures, submitted to Gen. Rel. Grav

Scientific paper

10.1023/B:GERG.0000016925.78122.

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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