Stellar collapse with hadron-quark phase transition of hot and dense matter

We construct an equation of state (EOS) including the hadron-quark phase transition by the Gibbs conditions for finite temperature. We adopt the EOS based on the relativistic mean field theory for the hadronic phase and the MIT bag model of the deconfined 3-flavor strange quark matter for the quark phase. Moreover, the gravitational collapse of massive stars with several masses is computed using our EOS and we find that the phase transition makes the interval time from the bounce to the black hole formation, namely the duration time of the neutrino emission, shorter for the model with a bounce. This fact implies that we may be able to probe observationally the EOS of hot and dense matter in future.