Gravitational collapse of a magnetized fermion gas with finite temperature

TL;DR

This paper investigates the gravitational collapse of a magnetized electron gas at finite temperature within a Bianchi-I spacetime, revealing different singularity types and the influence of temperature and magnetic field on collapse dynamics.

Contribution

It develops a self-consistent dynamical system for magnetized fermion gas collapse and analyzes the effects of temperature and magnetic field on singularity formation.

Findings

Collapse into isotropic and anisotropic singularities depending on magnetic field strength

Temperature significantly affects collapse behavior between 10^4 K and 10^7 K

Magnetic field influences the type of singularity formed

Abstract

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 $\hbox{T}\sim 10^{7}\hbox{K}$.