Gravitational collapse of a magnetized fermion gas with finite temperature
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We examine the dynamics of a self-gravitating magnetized fermion gas at finite temperature near the collapsing singularity of a Bianchi-I spacetime. Considering a general set of 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 T/m f ∼10−6 and T/m f ∼10−3.
KeywordsFinite Temperature Compact Object Particle Number Density Initial Shear Anisotropic Pressure
The work of A.P.M, A.U.R and I.D.G has been supported by Ministerio de Ciencia, Tecnología y Medio Ambiente under the grant CB0407 and the ICTP Office of External Activities through NET-35. A.P.M. acknowledges the hospitality of ICN-UNAM and the financial support of ICyTDF-CLAF fellowship programme. R.A.S. and A.U.R. acknowledge support from the research grant SEP–CONACYT–132132, and the TWAS-CONACYT fellowships.