In the present work we obtained the equation of state to be used to study the structure of proto-neutron stars. To this end, we adopted the model of Zimanyi-Moszkowski in the mean field approximation. In this model the equation of state consists of the octet of baryons of spin 1=2 (n, p, L0, S, S0, S+, X, X0) and of the baryonic resonances of spin 3=2, represented by
the delta matter (D, D0, D+, D++) and by W , in the baryonic sector. In the leptonic sector we consider the electrons, the muons and the trapped neutrinos. Thus, we studied the effects of the corresponding neutrinos on the equation of state during the initial formation of a neutron star. We discuss as well the structure of the proto-neutron star including the delta resonances in their composition, and compared the results at the cooling phase induced by escape of neutrinos. From the equation of state obtained with this model we solve numerically the equation TOV (Tolman-Oppenheimer-Volkoff) and so we obtained the values of the maximum mass, before and after cooling.
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