Hi Wolram
I don't know which model you are interested in, but it happens I have been thinking about what it means to say that the universe is collapsing or expanding. I hope you won't mind if I develop the thoughts here.
First, the idea of "the universe" is in need of some definition. Usually I think physicists and astronomers mean "the observable universe", but I don't know of anyone who thinks we have already seen all of it that there is to see. So the universe, in general, includes some things we cannot, at least yet, observe. This opens the door to all kinds of idle speculations.
Now if we are talking about the observable universe, the most recent estimates I have seen suggest we can see about eighty percent of what is out there. It is assumed in general that the remaining part is more or less like what we do see locally, since nothing that we can see suggests otherwise. This uniformitarian view has some problems.
For one thing, the most distant things we can see should be much younger than what is immediately around us. Galaxies and stars forming in the early universe, very far away from us now, in theory should look different than what we have now. For one thing, there is the metal content of stars.
Current theory suggests that early stars would not have much in the way of heavy elements, since these elements are not thought to be present in the big bang, but only to appear much later when stars have had time enough to burn off their lighter fuels and collapse violently, thus triggering events energetic enough to cause considerable fusion. However, it seems there are heavy metals in the stars and galaxies all the way out to the edge of our vision.
When people talk about the universe collapsing, they are usually as far as I know referring to a part of the theory of Hubble expansion. The astronomer Edward Hubble showed by evidence of the red shift of celestial objects that, in general, everything in the observable universe seems to be moving away from us. This lead to the question of whethor the expansion should go on forever, or if gravity should eventually slow it down, even stop it, and cause the universe to collapse again.
All evidence we have today, as far as I know, is that the universe is continuing to expand, and in fact is expanding faster as time goes on, which seems to suggest that it will not be overcome by its own gravity and collapse again. This dissappoints some people, who prefer the end of the universe be a big crunch rather than the big freeze which would seem to be the likely outcome of a universe which continues to expand forever.
In fact, the idea of the big bang was also born of the observation of the expanding universe, based on the idea that if you follow the expansion backwards in time, you must inevitabley come to a place and time where everything in the universe was in one place...the big bang singularity. There is nothing absolute about this logic. The big bang is not a proven fact, and there are other ways to imagine how the early universe may have formed.
It seems to me that the big ideas, bang crunch and freeze, are probably overly simplistic. It could be (here comes some idle speculation) that the observable universe is really only a tiny portion of the whole universe, and the little bit we see is undergoing some expansion, while in other adjacent areas some contraction may be going on. In this case, our observable universe can be expanding all around us as far as we can see, and even be expanding faster and faster, but eventually the expansion may slow down again and a contraction phase could set in locally. The accelerating expansion we observe would not then result in an inevitable big freeze, nor would it be realistic to follow the expansion backward in time to a singularity.
In fact, such a universe could be rather like the effect of sound waves in air, where local areas of increased and decreased density of air molocules transmit the energy we hear as sound. One molocule, in analogy our observable universe, could observe all of the molocules around it moving away, and then some time later, observe all of the molocules around it moving back together. This oscillation would not, of course, rather hardly ever, result in the molocule being left entirely alone in the room, nor would it necessarily imply that all of the molocules in the room had once occupied the singular position.
Our observable universe seems to be in a period of expansion. We have known about this for about a hundred years. In that time we have had enough data to take a further derivative and discover that in fact the expansion seems to be accelerating. But acceleration is not the end of the derivative series. We may in future be able to take a derivative of the acceleration data and discover that the universe is accelerating faster and faster also. This would be the result not of a big bang, but of a big jerk.
I suppose the creationists may take offense at my suggestion that the observable universe may be the result of a big jerk. In my experience, the God of Creation has been called worse things. Looking at the state of affairs in the world, I would have to say at best that God has seemingly developed a deplorable taste for practical jokes.
Be well,
Richard