I want to know more details of how a neutron star collapses into a black hole. One possible way it does so is once a neutron start is massive enough, it starts collapsing in approximately a Newtonian way where its gravitational attraction exceeds its pressure so it contracts even more so its gravitational attraction exceeds its pressure even more up to the point where it gets so small that relativistic effects become significant and space so close to it is getting dragged in faster than light so nothing can escape from beyond there so we define it to be a black hole?
I don't think that's the case and think the collapse is entirely from relativistic effects because I think that Neutron stars have a bulk modulus that exceeds their density multiplied by $c^2$ because I once read that some neutron stars have a photon sphere. Another possible explanation is that by the time a neutron star is massive enough to collapse into a black hole, it's still predicted to have negligible gravitational contraction according to Newtonain physics because of its such extreme bulk modulus and as a neutron star slowly gets bigger, the gravitational field stops being in an equilibrium state and starts the runaway effect of getting further away from that state until space actually starts getting dragged in faster than light and the gravitational field outside the event horizon is a self sustaining gravitational field which controls the gravitational field beyond the event horizon.
My question is is one of the two ways I described the way a Neutron star collapses into a black hole? If so, which one is it? If not, what are the precise details of how a Neutron star with no charge or angular momentum collapses into a Schwarzschild black hole?