Spritz: a new fully general relativistic magnetohydrodynamic code

I will present a new general relativistic magnetohydrodynamic (GRMHD) code devoted to the study of compact binary mergers with finite temperature equations of state and neutrino emission. Numerical modeling of neutron stars binaries, black holes binaries, and neutron star-black hole binaries has now become one of the most important fields of study in theoretical astrophysics because it allows extracting physical information from the gravitational wave and electromagnetic signals by comparing simulated data with observations. Focusing on the NS-NS and NS-BH cases, in particular, it has been shown many times that only a fully general relativistic treatment taking also into account magnetic fields may give a complete picture of this scenario and this requires to solve the equations of GRMHD. In order to let the so-called divergence-free condition be automatically satisfied, I considered the magnetic field coming out from a vector potential. In addition, I also consider a general treatment for the NS Equation Of State (EOS) allowing for the use of finite temperature tabulated EOS. This new code will also implement neutrino cooling in order to provide a more accurate study of the post-merger phase.