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In the present work we used five different versions of the quark-mesoncoupling (QMC) model to compute astrophysical quantities related to theGW170817 event and to neutron star cooling process. Two of the models are basedon the original bag potential structure and three versions consider a harmonicoscillator potential to confine the quarks. The bag-like models alsoincorporate the pasta phase used to describe the inner crust of neutron stars.We show that the pasta phase always play a minor or negligible role in allstudies. Moreover, while no clear correlation between the models that satisfythe GW170817 constraints and the slope of the symmetry energy is found, a clearcorrelation is observed between the slope and the fact that the cooling is fastor slow, i.e., fast (slow) cooling is related to higher (lower) values of theslope. We did not find one unique model that can describe, at the same time,GW170817 constraints and give a perfect description of the possible coolingprocesses.

Neutron star cooling and GW170817 constraint within quark-meson coupling models