Dynamics of a self-gravitating neutron source

Paret, D. Manreza; Martı́nez, A. Pérez; Rey, A. Ulacia; Sussman, Roberto A.

doi:10.1088/1475-7516/2010/03/017

Cited by 4 publications

(3 citation statements)

References 22 publications

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“…Hence, the anisotropic pressure terms associated with the magnetic field necessarily contain a ("pure") classical Maxwell term [42], but must also modify the equations of state of the fluid sources. We remark that in previous work we have studied the gravitational collapse of such magnetised sources in a Bianchi I geometry, considering the case of zero [43,44,45] and finite temperatures [46].…”

Section: Introductionmentioning

confidence: 99%

A non-perturbative study of the evolution of cosmic magnetised sources

et al. 2015

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We undertake a hydrodynamical study of a mixture of tightly coupled primordial radiation, neutrinos, baryons, electrons and positrons, together with a gas of already decoupled dark matter WIMPS and an already existing "frozen" magnetic field in the infinite conductivity regime. Considering this cosmic fluid as the source of a homogeneous but anisotropic Bianchi I model, we describe its interaction with the magnetic field by means of suitable equations of state that are appropriate for the particle species of the mixture between the end of the leptonic era and the beginning of the radiation-dominated epoch. Fulfilment of observational bounds on the magnetic field intensity yields a "near FLRW" (but strictly non-perturbative) evolution of the geometric, kinematic and thermodynamical variables. This evolution is roughly comparable to the weak field approximation in linear perturbations on a spatially flat FLRW background of sources in which the frozen magnetic fields are coherent over very large supra-horizon scales. Our approach and results may provide interesting guidelines in potential situations in which non-perturbative methods are required to study the interaction between magnetic fields and the cosmic fluid.

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Section: Introductionmentioning

confidence: 99%

A non-perturbative study of the evolution of cosmic magnetised sources

et al. 2015

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“…As an alternative approach, and bearing in mind the relation between magnetic fields and anisotropic pressures, we have examined the dynamics of magnetized self-gravitating Fermi gases as sources of a Bianchi I space-time (Ulacia Rey, Pérez Martínez & Sussman 2007;Ulacia Rey, Pérez Martínez & Sussman 2008;Manreza Paret et al 2010), as this is the simplest non-stationary geometry that is fully compatible with the anisotropy produced by magnetic field sources. A Bianchi I model is an inadequate metric for any sort of a compact object, as all geometric and physical variables depend only on time (and thus it cannot incorporate any coupling of gravity with spatial gradients of these variables), the use of this idealized geometry could be useful to examine qualitative features of the local behavior of the magnetized gas under special and approximated conditions.…”

Section: Introductionmentioning

confidence: 99%

Gravity induced evolution of a magnetized fermion gas with finite temperature

et al. 2014

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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 .

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“…As an alternative (though still idealized) approach, and bearing in mind the relation between magnetic fields and pressure anisotropy, we have examined the dynamics of magnetized self-gravitating Fermi gases as sources of a Bianchi I space-time [13,14,15], as this is the simplest non-stationary geometry that is fully compatible with the anisotropy produced by magnetic field source.…”

Section: Introductionmentioning

confidence: 99%

Gravitational collapse of a magnetized fermion gas with finite temperature

et al. 2013

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Abstract. We examine the dynamics of a self-gravitating magnetized electron gas at finite temperature near the collapsing singularity of a Bianchi-I spacetime. Considering a general and 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 ∼ 10 4 K and T ∼ 10 7 K.

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Dynamics of a self-gravitating neutron source

Cited by 4 publications

References 22 publications

A non-perturbative study of the evolution of cosmic magnetised sources

A non-perturbative study of the evolution of cosmic magnetised sources

Gravity induced evolution of a magnetized fermion gas with finite temperature

Gravitational collapse of a magnetized fermion gas with finite temperature

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