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Dynamics of a self-gravitating magnetized source. (English) Zbl 1117.83027
Summary: We consider a magnetized degenerate gas of fermions as the matter source of a homogeneous but anisotropic Bianchi I space-time with a Kasner-like metric. We examine the dynamics of this system by means of a qualitative and numerical study of Einstein-Maxwell field equations which reduce to a non-linear autonomous system. For all initial conditions and combinations of free parameters, the gas evolves from an initial anisotropic singularity into an asymptotic state that is completely determined by a stable attractor. Depending on the initial conditions the anisotropic singularity is of the “cigar” or “plate” types.
Reviewer: Reviewer (Berlin)

MSC:
83C15 Exact solutions to problems in general relativity and gravitational theory
83C22 Einstein-Maxwell equations
83F05 Cosmology
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