  We have analyzed stellar properties of the relativistic mean-field (RMF)
parametrizations shown to be consistent with the recently studied constraints
related to nuclear matter, pure neutron matter, symmetry energy and its
derivatives [Dutra et al., Phys. Rev. C 90, 055203 (2014)]. Our results show
that only two RMF parametrizations do not allow the emergence of the direct
Urca process, important aspect regarding the evolution of a neutron star.
Moreover, among all approved RMF models, fourteen of them produce neutron stars
with maximum masses inside the range $1.93\leqslant M/M_\odot\leqslant 2.05$,
with $M_\odot$ being the solar mass. Only three models yield maximum masses
above this range and a discussion on the inclusion of hyperons is presented.
Finally, we have verified that the models satisfying the neutron star maximum
mass constraint do not observe the squared sound velocity bound, namely, $v_s^2
< 1/3$, corroborating recent findings. However, the recently proposed
$\sigma$-cut scheme can make the RMF models consistent with both constraints
depending on the isoscalar-vector interaction of each parametrization.
