Cold Quark Matter in the Universe

The cold quark matter with high chemical potential can exist in nature only inside the neutron stars. In this talk we will present some results of the study of hybrid state equations of cold quark matter in this type of star, from hadron $\rightarrow$ quarks phase transitions using Maxwell’s construction. To describe the hadronic phase will be presented the SWRDP model (Gomes et al, 2015), which considers the presence of hyperons and the effects of many body forces. The quark matter is described through two approaches: the QCD Medium Field Theory (MFTQCD, Fogaça & Navarra, 2011) and the QCDRE Infrared Extension (QCDIRE, Mintz et al, 2015, 2011).