Hi everyone-- I'm trying to get a technical explanation of the expansion of the Universe. I posted something similar in the Cosmology forum, but got a lot of unlettered and wishy-washy responses. I'm hoping here in the SR/GR forum I can find a more mathematically rigorous treatment. Here's the question: Assuming there is no Dark Energy/Lambda/etc., is there any value for the density parameter Omega such that the Universe will one day reach a maximum volume (or asymptotically approach a maximum volume)? My understanding was that this would happen if Omega=1; however, some people say that though in this case the Universe will one day stop expanding, it will not ever reach a maximum volume (nor asymptotically approach a maximum volume). This I do not understand. Thanks!