  Recently, Cottingham, Kalafatis and Vinh Mau proposed, in the framework of
the Lee-Wick model, a scenario of formation of quark stars in the cosmological
quark-hadron phase transition with high degree of supercooling. We show here
that the cosmological quark-hadron phase transition in the Lee-Wick model with
such a high degree of supercooling cannot be completed. No quark stars could be
formed in this scenario.

Astrophysics