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

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dc.creatorRey, A. Ulacia
dc.creatorMartinez, A. Perez
dc.creatorSussman, Roberto A.
dc.date2007-08-03
dc.date2007-11-28
dc.date.accessioned2026-07-07T12:12:33Z
dc.date.available2026-07-07T12:12:33Z
dc.descriptionWe 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.
dc.description6 pages, 3 figures (accepted in General Relativity and Gravitation)
dc.identifierhttps://arxiv.org/abs/0708.0593
dc.identifierhttp://arxiv.org/abs/0708.0593
dc.identifierGen.Rel.Grav.40:1499-1510,2008
dc.identifierdoi:10.1007/s10714-007-0542-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210580
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleLocal dynamics and gravitational collapse of a self-gravitating magnetized Fermi gas
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