Eur. Phys. J. C (2013) 73: 2502
https://doi.org/10.1140/epjc/s10052-013-2502-y

Regular Article - Theoretical Physics

Gravitational collapse of a magnetized fermion gas with finite temperature

¹ Instituto de Geofísica y Astronomía (IGA), Calle 212 No 2906, La Lisa, La Habana, 11600, Cuba
² Instituto de Cibernética, Matemática y Física (ICIMAF), Calle E esq 15 No. 309 Vedado, La Habana, 10400, Cuba
³ Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México (ICN-UNAM), A.P. 70-543, 04510, México, D.F., Mexico

^* e-mail: idelgado@iga.cu

Received: 1 May 2013
Revised: 9 July 2013
Published online: 24 July 2013

Abstract

We examine the dynamics of a self-gravitating magnetized fermion gas at finite temperature near the collapsing singularity of a Bianchi-I spacetime. Considering a general set of 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 T/m _f ∼10⁻⁶ and T/m _f ∼10⁻³.