Gravity induced evolution of a magnetized fermion gas with finite temperature

Abstract

We examine the dynamics near the collapse of a self-gravitating magnetized fermion 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 ordinary differential equations. 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. 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: T/m ∼ 10 −6 -10 −3 .

Early Universe evolution in presence of magnetic fields

“…-Instead of considering only strictly Maxwellian fields in the infinite conductivity approximation (as in Tsagas & Maartens 2000a,b;Tsagas et al 2008;Kandus et al 2010), we consider in addition anisotropic equations of state (EoS) for the electron-positron gas (Chaichian et al 2000;Perez Martinez et al 2003). The present work is an immediate continuation of our previous papers (Delgado Gaspar et al 2013, 2014, where we studied the gravitational collapse of magnetised sources in a BI geometry at finite temperature.…”