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Gravity induced evolution of a magnetized fermion gas with finite temperature
Author(s) -
Delgado Gaspar I.,
Pérez Martínez A.,
Sussman R. A.,
Ulacia Rey A.
Publication year - 2014
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.201412086
Subject(s) - physics , gravitational singularity , fermion , isotropy , magnetic field , anisotropy , classical mechanics , scalar field , mathematical physics , quantum mechanics
We examine the dynamics near the collapse of a self‐gravitating magnetized fermion 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 ordinary differential equations. 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. 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: T/m ∼ 10 –6 –10 –3 . (© 2014 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)