Local dynamics and gravitational collapse of a self-gravitating magnetized Fermi gas

Abstract

We use the Bianchi-I spacetime to study the local dynamics of a magnetized self-gravitating Fermi gas. The set of Einstein-Maxwell field equations for this gas becomes a dynamical system in a 4-dimensional phase space. We consider a qualitative study and examine numeric solutions for the degenerate zero temperature case. All dynamic quantities exhibit similar qualitative behavior in the 3-dimensional sections of the phase space, with all trajectories reaching a stable attractor whenever the initial expansion scalar H_{0} is negative. If H_{0} is positive, and depending on initial conditions, the trajectories end up in a curvature singularity that could be isotropic(singular "point") or anisotropic (singular "line"). In particular, for a sufficiently large initial value of the magnetic field it is always possible to obtain an anisotropic type of singularity in which the "line" points in the same direction of the field.

6 pages, 3 figures (accepted in General Relativity and Gravitation)

References in corpus (8)

• The Equation of State of Neutron-Star Matter in Strong Magnetic Fields
• Effects of Strong Magnetic Fields on Neutron Star Structure
• Quark Matter in Strong Magnetic Field
• Quantum Magnetic Collapse
• General relativistic hydrodynamics with viscosity: contraction, catastrophic collapse, and disk formation in hypermassive neutron stars
• Magnetic collapse of a neutron gas: Can magnetars indeed be formed
• Quantum instability of magnetized stellar objects
• Dynamics of a self--gravitating magnetized source

Cited by in corpus (7)

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• General Relativistic effects in the structure of massive white dwarfs
• Dynamics of a self-gravitating neutron source
• Gravitational collapse of a magnetized fermion gas with finite temperature
• A non-perturbative study of the evolution of cosmic magnetised sources
• Gravitational collapse and entropy of Black Holes with magnetic sources