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High massive compact stars have been reported recently in the literature,providing strong constraints on the properties of the ultradense matter beyondthe saturation nuclear density. In view of these results, the calculations ofquark star or hybrid star equilibrium structure must be compatible with theprovided observational data. But, since the used equations of state describingquark matter are in general too soft, in comparison with the equation of statesused to describe the hadronic or nuclear matter, the calculated quark starmodels presented in the literature are in general not suitable to explain thestability of high compact massive objects.

Massive Compact Stars as Quark Stars