  We discuss the stability and construct dynamical configurations describing
the gravitational collapse of unstable neutron stars with realistic equations
of state compatible with the recent LIGO-Virgo constraints. Unlike other works
that consider the collapse of a stellar configuration without a priori
knowledge if it is stable or unstable, we first perform a complete analysis on
stellar stability for such equations of state. Negative values of the squared
frequency of the fundamental mode indicate us radial instability with respect
to the collapse of the unstable star to a black hole. We find numerical
solutions corresponding to the temporal and radial behavior during the
evolution of the collapse for certain relevant physical quantities such as
mass, luminosity, energy density, pressure, heat flow, temperature and
quantities that describe bulk viscous processes. Our results show that the
equation of state undergoes abrupt changes close to the moment of event horizon
formation as a consequence of dissipative effects. During the collapse process
all energy conditions are respected, which implies that our model is physically
acceptable.
