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DYNAMICS OF A SELF-GRAVITATING MAGNETIZED SOURCE
https://doi.org/10.1142/S0218271807010298Cited by:5 (Source: Crossref)
Abstract
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.
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