The effects of strong magnetic fields on the neutron star structure: lowest order constrained variational calculations

We investigate the effects of strong magnetic fields upon the gross properties of neutron and protoneutron stars. In our calculations, the neutron star matter was approximated by the pure neutron matter. Using the lowest order constrained variational approach at zero and finite temperatures, and employing $AV_{18}$ potential, we present the effects of strong magnetic fields on the gravitational mass, radius, and gravitational redshift of the neutron and protoneutron stars. It is found that the equation of state of neutron star becomes stiffer with increase of the magnetic field and temperature. This leads to larger values of the maximum mass and radius for the neutron stars.