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تسجيل مستخدم جديدGravity induced evolution of a magnetized fermion gas with finite temperature
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We examine the near collapse dynamics of a self-gravitating magnetized electron gas at finite temperature, taken as the source of a Bianchi-I spacetime described by the Kasner metric. The set of Einstein-Maxwell field equations reduces to a complete and self-consistent system of non-linear autonomous ODEs. By considering a representative set of initial conditions, the numerical solutions of this system show the gas collapsing into both, isotropic (point--like) and anisotropic (cigar-like) singularities, depending on the intensity of the magnetic field. We also examined the behavior during the collapse stage of all relevant state and kinematic variables: the temperature, the expansion scalar, the magnetic field, the magnetization and energy density. We notice a significant qualitative difference in the behavior of the gas for a range of temperatures between the values $hbox{T}sim10^{3}hbox{K}$ and $hbox{T}sim 10^{7}hbox{K}$.
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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 Ein
stein--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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