this is a Good question

It's complicated. As a black hole warps time as well as space, it does have a major effect on time - but it's all relative. If you fall into a black hole, time will appear to go infinitely slowly. However, outside the black hole, all will appear normal.

- Gehn

The problem to me is that Time objectively doesn’t exist. Energy doesn’t get older. But if I ignore that, I would say it never stops. What exactly am I pointing at? One “physical second” might last lets say billion years when it goes really slow. Basically from our everyday perception we would say time has stopped but as you can see in such case it wouldnt.

This is very similar to the discussion regarding the twin paradox and time dilation. Time does not only dilate for accelerated frames but also for energy wells. Let's say we have two cats. One is in orbit around a black hole far outside the event horizon (observer) and one is on an approach orbit to the black hole (victim). As the victim gets closer it appears to slow down to the observer. AT the moment the victim's orbit intersects the event horizon the observer sees the victim freeze (frozen in time). The victim on the other hand sees the observer getting older and older but if he looks toward the hole he sees nothing. The frames are accelerated with respect to each other due to the gravitational pull of the black hole.