A consistent Hartree-Fock study of the equation of state ( EOS ) of asymmetric nuclear matter at finite temperature has been performed using realistic choices of the effective , density dependent nucleon-nucleon ( NN ) interaction , which were successfully used in different nuclear structure and reaction studies .
Given the importance of the nuclear symmetry energy in the neutron star formation , EOS ’ s associated with different behaviors of the symmetry energy were used to study hot asymmetric nuclear matter .
The slope of the symmetry energy and nucleon effective mass with increasing baryon density was found to affect the thermal properties of nuclear matter significantly .
Different density dependent NN interactions were further used to study the EOS of hot protoneutron star ( PNS ) matter of the npe \mu \nu composition in \beta -equilibrium .
The hydrostatic configurations of PNS in terms of the maximal gravitational mass M _ { max } and radius , central density , pressure and temperature at the total entropy per baryon S / A = 1 , 2 and 4 have been determined in both the neutrino-free and neutrino-trapped scenarios .
The obtained results show consistently a strong impact of the symmetry energy and nucleon effective mass on thermal properties and composition of hot PNS matter . M _ { max } values obtained for the ( neutrino-free ) \beta -stable PNS at S / A = 4 were used to assess time t _ { BH } of the collapse of 40 M _ { \odot } protoneutron progenitor to black hole , based on a correlation between t _ { BH } and M _ { max } found from the hydrodynamic simulation by Hempel et al . .