Gravity induced evolution of a magnetized fermion gas with finite temperature

TL;DR

This paper investigates the collapse dynamics of a magnetized, finite-temperature electron gas under gravity within a Bianchi-I spacetime, revealing different singularity types and variable behaviors depending on magnetic field strength and temperature.

Contribution

It provides a self-consistent numerical analysis of the collapse of a magnetized fermion gas at finite temperature, highlighting the influence of magnetic fields and temperature on singularity formation.

Findings

Gas collapses into isotropic or anisotropic singularities depending on magnetic field strength.

Significant qualitative differences in behavior for temperatures between 10^3 K and 10^7 K.

Detailed evolution of temperature, magnetic field, and other variables during collapse.

Abstract

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 ODE's. 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 $\hbox{T}\sim 10^{7}\hbox{K}$.