Hi all, I am really curious about the final state conjecture in general relativity, but I don't really understand it... There seems to be a really good explanation provided by Willie Wong here: http://math.stackexchange.com/questions/50521/open-problems-in-general-relativity however it is still a bit beyond me. I was wondering if anyone could explain it in layman terms? So far, I get that there are two possibilities for the future of our universe- contract into a singularity or expand to form mainly empty space. First thing I am stuck on is what Minkowski space has to do with a sparse universe... I am guessing it is about setting the state of the universe (I think in the stress-energy tensor?) to being 'very sparse' and then when you see how it evolves with time, you can solve the field equations to find that the metric tensor approaches Minkowski space? I thought we already exist in Minkowski space, but it seems to me like this is what the above article is suggesting... Thank you for any help :) EDIT: Am I correct in saying that Minkowski space is flat space is flat spacetime and so the fact that when you run the Einstein field equations forward in time the metric tensor is either asymptotic to Minkowski space or forms a singularity means that in the future our spacetime will become eiither more flat and keep on expanding forever or there will be a big crunch? If so, II still don't see why this would be a problem for general relativity?