Title: Stable solutions of field equations for the models of the super-massive objects in the centers of galaxies and quasars Author: L. Neslusan ABSTRACT. Oppenheimer and Volkoff discovered that a dead star can be stable only if its mass is lower than a certain limit. However, this limit significantly depends on the composition of object. The upper mass limit differs up to about the factor of ~3 for the various equations of state. It appears that the maximum density inside the super-massive compact objects is lower than the critical density of the electron-gas degeneracy. It is therefore reasonable to consider the super-massive objects consisting of common, stellar-type, hydrogen-helium plasma. In this presentation, the stable-equilibrium configuration and maximum mass of such the objects is investigated. For a given set of constituting particles, several stable-equilibrium configurations were found. The maximum mass most probably exceeds the mass of the most massive, currently known super-massive object in the center of quasar TNO 618, which equals 66 billion solar masses. The objects in the centers of galaxies and qusars may not necessarily be the black holes, they can have a photosphere and mass ejections from them are possible.