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Dynamics of a self--gravitating magnetized source

A. Ulacia Rey·A. Perez Martinez·Roberto A. Sussman
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Abstract

We consider a magnetized degenerate gas of fermions as the matter source of a homogeneous but anisotropic Bianchi I spacetime 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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A. Ulacia Rey, A. Perez Martinez, Roberto A. Sussman. 2008-02-01. Dynamics of a self--gravitating magnetized source. https://doi.org/10.1142/s0218271807010298

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