  Nuclear matter under astrophysical conditions is explored with time-dependent
and static Hartree-Fock calculations. The focus is in a regime of densities
where matter segregates into liquid and gaseous phases unfolding a rich
scenario of geometries, often called nuclear pasta shapes (e.g. spaghetti,
lasagna). Particularly the appearance of the different phases depending on the
proton fraction and the transition to uniform matter are investigated. In this
context the neutron background density is of special interest, because it plays
a crucial role for the type of pasta shape which is built. The study is
performed in two dynamical ranges, one for hot matter and one at temperature
zero to investigate the effect of cooling.
