Effects of strong magnetic fields on hybrid stars

In this work we study the e ects of strong magnetic elds on hybrid stars by using a full general-relativity approach, solving the coupled Maxwell-Einstein equation in a self- consistent way. The magnetic eld is assumed to be axi-symmetric and poloidal. We take into consideration the anisotropy of the energy-momentum tensor due to the magnetic eld, magnetic eld e ects on equation of state, the interaction between matter and the magnetic eld (magnetization), and the anomalous magnetic moment of the hadrons. The equation of state used is an extended hadronic and quark SU(3) non-linear realization of the sigma model that describes magnetized hybrid stars containing nucleons, hyperons and quarks. According to our results, the e ects of the magnetization and the magnetic eld on the EoS do not play an important role on global properties of these stars. On the other hand, the magnetic eld causes the central density in these objects to be reduced, inducing major changes in the populated degrees of freedom and, potentially, converting a hybrid star into a hadronic star.