Аннотация
We review the current status and recent progress of microscopic many-body
approaches and phenomenological models, which are employed to construct the
equation of state of neutron stars. The equation of state is relevant for the
description of their structure and dynamical properties, and it rules also the
dynamics of core-collapse supernovae and binary neutron star mergers. We
describe neutron star matter assuming that the main degrees of freedom are
nucleons and hyperons, disregarding the appearance of quark matter. We compare
the theoretical predictions of the different equation-of-state models with the
currently available data coming from both terrestrial laboratory experiments
and recent astrophysical observations. We also analyse the importance of the
nuclear strong interaction and equation of state for the cooling properties of
neutron stars. We discuss the main open challenges in the description of the
equation of state, mainly focusing on the limits of the different many-body
techniques, the so-called "hyperon puzzle," and the dependence of the direct
URCA processes on the equation of state.
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