Magnetic field effects on compact stars

In this talk I will discuss about the effects of strong magnetic fields on hybrid stars and , briefly, on white dwarfs. The magnetic field is assumed to be axi-symmetric and poloidal. In the case of hybrid stars, we take into consideration the anisotropy of the energy-momentum tensor due to the magnetic field, magnetic field effects on equation of state, the interaction between matter and the magnetic field (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 effects of the magnetization and the magnetic field on the EoS do not play an important role on global properties of these stars.  On the other hand,  the magnetic field 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. As a spin-off of these studies, we calculated also super-heavy white dwarfs in the presence of strong fields. These models  possibly contribute to super-luminous SNIa.