Dynamics of a self--gravitating magnetized source

Abstract

We consider a magnetized degenerate gas of fermions as the matter source of a homogeneous but anisotropic Bianchi I spacetime with a Kasner--like metric. We examine the dynamics of this system by means of a qualitative and numerical study of Einstein-Maxwell field equations which reduce to a non--linear autonomous system. For all initial conditions and combinations of free parameters the gas evolves from an initial anisotropic singularity into an asymptotic state that is completely determined by a stable attractor. Depending on the initial conditions the anisotropic singularity is of the ``cigar'' or ``plate'' types.

7 pages, 1 figure

References in corpus (3)

• Quantum Magnetic Collapse
• A Gauge-invariant Analysis of Magnetic Fields in General Relativistic Cosmology
• Magnetic collapse of a neutron gas: Can magnetars indeed be formed

Cited by in corpus (5)

• Local dynamics and gravitational collapse of a self-gravitating magnetized Fermi gas
• Gravitational collapse of a magnetized fermion gas with finite temperature
• Dynamics of a self-gravitating neutron source
• A non-perturbative study of the evolution of cosmic magnetised sources
• Gravitational collapse and entropy of Black Holes with magnetic sources