Gravity induced evolution of a magnetized fermion gas with finite temperature
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 and .
Keywords
Cite
@article{arxiv.1211.5980,
title = {Gravity induced evolution of a magnetized fermion gas with finite temperature},
author = {I. Delgado Gaspar and A. Perez Martinez and Roberto A. Sussman and A. Ulacia Rey},
journal= {arXiv preprint arXiv:1211.5980},
year = {2012}
}
Comments
16 pages, 7 figures, submitted to JCAP