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arxiv: 1305.0308 · v1 · pith:OAALTUTInew · submitted 2013-05-01 · 🌀 gr-qc · hep-th

Gravitational collapse of a magnetized fermion gas with finite temperature

classification 🌀 gr-qc hep-th
keywords hboxtemperaturefieldbehaviorcollapsecollapsingfiniteinitial
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We examine the dynamics of a self--gravitating magnetized electron gas at finite temperature near the collapsing singularity of a Bianchi-I spacetime. Considering a general and appropriate and physically motivated initial conditions, we transform Einstein--Maxwell field equations into a complete and self--consistent dynamical system amenable for numerical work. The resulting numerical solutions reveal the gas collapsing into both, isotropic ("point-like") and anisotropic ("cigar-like") singularities, depending on the initial intensity of the magnetic field. We provide a thorough study of the near collapse behavior and interplay of all relevant state and kinematic variables: temperature, expansion scalar, shear scalar, magnetic field, magnetization and energy density. A significant qualitative difference in the behavior of the gas emerges in the temperature range $\hbox{T} sim10^{4}\hbox{K}$ and $\hbox{T}\sim 10^{7}\hbox{K}$.

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