Properties of hot dense asymmetric nuclear matter in the relativistic density functional theory

In recent years there has been increased interest in the study of hot nuclear matter and neutron matter. The properties of dense and finite-temperature asymmetric nuclear matter are of great interest in the studies of the dynamics of heavy-ion collisions, stellar collapse, supernova explosions or neutron stars. We construct the equation of state (EoS) of nuclear matter at finite temperature and density with various proton fractions within the relativistic density-dependent hadron-field theory (DDRH). The particular feature of this theory is a density-dependent description of in-medium NN interactions from an ab initio approach applying Dirac-Brueckner theory. The properties of nuclear matter with both uniform and non-uniform distributions are studied consistently. We also show results of calculations including hyperons and nuclear matter in β equilibrium. Results for Fermi-Liquid parameters and quasi-elastic response functions are presented.