English

Gravitational collapse of a magnetized fermion gas with finite temperature

General Relativity and Quantum Cosmology 2015-06-15 v1 High Energy Physics - Theory

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 Tsim104K\hbox{T} sim10^{4}\hbox{K} and T107K\hbox{T}\sim 10^{7}\hbox{K}.

Keywords

Cite

@article{arxiv.1305.0308,
  title  = {Gravitational collapse 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:1305.0308},
  year   = {2015}
}

Comments

9 pages, 7 figures. arXiv admin note: substantial text overlap with arXiv:1211.5980