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We analyze the effect of color superconductivity in the transition from hothadron matter to quark matter in the presence of a gas of trapped electronneutrinos. To describe strongly interacting matter we adopt a two-phase picturein which the hadronic phase is described by means of a non-linear Walecka modeland just deconfined matter through the MIT bag model including colorsuperconductivity. We impose flavor conservation during the transition in sucha way that just deconfined quark matter is transitorily out of equilibrium withrespect to weak interactions. Our results show that color superconductivityfacilitates the transition for temperatures below $T_c$. This effect may bestrong if the superconducting gap is large enough. As in previous work we findthat trapped neutrinos increase the critical density for deconfinement;however, if the just deconfined phase is color superconducting this effect isweaker than if deconfined matter is unpaired. We also explore the effect ofdifferent parametrizations of the hadronic equation of state (GM1 and NL3) andthe effect of hyperons in the hadronic phase. We compare our results with thosepreviously obtained employing the Nambu-Jona-Lasinio model in the descriptionof just deconfined matter and show that they are in excellent agreement if thebag constant $B$ is properly chosen.

Quark deconfinement in protoneutron star cores: effect of color superconductivity within the MIT bag model