V. Dexheimer, D. P. Menezes, M. Strickland
We use the MIT bag model to analyze different stages of magnetized quark star evolution incorporating baryon number conservation and an anisotropic energy momentum tensor. The first stages of the evolution are simulated through the inclusion of trapped neutrinos and fixed entropy per particle, while in the last stage the star is taken to be deleptonized and cold. We find that, although strong magnetic fields allow for more massive quark stars, the evolution of isolated stars needs to be constrained by fixed baryon number, which lowers the star masses. Moreover, magnetic field effects, measured by the difference between the parallel and perpendicular pressures, are more pronounced in the beginning of the star evolution when there is a larger number of charged leptons and up quarks. We also show that having a spatially varying magnetic field allows for larger magnetic fields to be supported since the model employed generates large magnetic fields only at high densities, where the longitudinal matter pressure is large enough to partially compensate for the negative magnetic field longitudinal pressure.
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http://arxiv.org/abs/1210.4526
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