Initial conditions for GRMHD simulations of electroweak and QCD phase transitions in the early Universe

Abstract

This work identifies the initial conditions of general relativistic magnetohydrodynamic (GRMHD) simulations of both the electroweak and quantum chromodynamic phase transitions. Each phase transition has a well known vacuum expectation value associated with it, which will be the starting point for each calculation. Energy, temperature, scale factor, Hubble parameter, time, thermal degrees of freedom, dark matter density, regular matter density and radiation density are the nine parameters that will be found for each phase transition. Some of the parameters are needed to calculate others, and some of the parameters are direct inputs required by our computer code. In addition, the magnitude of velocity variations as well as density and temperature perturbations is found using numerical simulations. The data generated by these inputs combined with the evolution equations can be analyzed to determine if the simulation conforms to the Friedmann-Robertson-Walker (FRW) model and whether or not the hypothesized values are accurate.