Abstract

AbstractIt is well‐known that a magnetic field in a fermion system breaks the SO(3) symmetry, giving rise to an anisotropy in the energy‐momentum tensor and consequently in the equation of state (EoS). Thus, the stellar structure equations of magnetized quark stars (QS) demand to be derived from a more appropriate cylindrical metric. In this work we obtain these equations considering the magnetized quark matter in two phases: Magnetized Strange Quark Matter (MSQM) and Magnetized Color Flavor Locked Phase (MCFL). The main outcome of our work is the value of the maximum magnetic field that an star can hold, i.e. 1018 G. This upper bound is closely related to the violation of the virial relations and also with the instability associated with parity‐violation weak processes during the collapse of supernovae. (© 2015 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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