Probing the equation of state of dense matter: neutron-star properties and multi-messenger constraints

Neutron stars are unique laboratories to probe matter in extreme conditions that cannot be currently reproduced on Earth. The determination of their equation of state (EoS) is a challenge, but it is particularly important since it allows to relate different global neutron-star properties and to link the prediction of astrophysical observables to microphysical properties of dense matter. In this presentation, I will give a brief introduction on the dense-matter EoS, and specifically on the EoS for neutron stars. Various constraints will be discussed and the prediction of neutron-star observables obtained with a large variety of EoSs by performing Bayesian analyses will be presented in connection with recent (multi-messenger) astrophysical observations.