On the moment of inertia and surface redshift of neutron star

Using temperature, density and isospin dependent nuclear equation of state, we calculated the moment of inertia and surface redshift of neutron star by resolving Tolman-Oppenheimer-Volkoff equation. It is found that the moment of inertia and surface redshift strongly depend on the nuclear equation of state. The equation of state with high value of uncompressibility and symmetry energy strength coefficient provides a big moment of inertia, while effective mass of nucleon has almost no effect on moment of inertia. Meanwhile, the equation of state with high value of uncompressibility and effective mass of nucleon provides a big surface redshift, while the symmetry energy strength coefficient has almost no effect on surface redshift of neurtun star. The relationship between moment of inertia and mass is also given in this paper. By comparing the calculated results with the one obtained semiempirically from astronomy, we find that a softer equation of state can provide a more reasonable result.