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(There doesn't seem to be an easy way to find similar threads without creating one and posting it, so I'll just post a question).
Standard texts exist that describe the time evolution of a FLRW universe given parameters such as density. Can the curvature parameter, k, change as the universe evolves? Can curvature change so much that the geometry of the spatial hypersurface changes character (spherical <> flat <> hyperbolic)?
Hi again. I'm still off work and struggling to learn some physics. I'm searching for discussion about the possibility of a universe changing its curvature as it evolves.
I'm still new here and so I'd be grateful for advice either about: (i) How to search for past discussions, or else, (ii) any discussion or pointers.
The sumary should describe the situation but I'll write it out again here, just in case:
Modelling the universe as a RobertsonWalker universe  can the spacetime change its curvature (as time progresses) so that the geometry of the spatial hypersurface changes from one type (e.g. spherical) to another (e.g. flat) over its course of evolution?
I can post more info if required.
I'm still new here and so I'd be grateful for advice either about: (i) How to search for past discussions, or else, (ii) any discussion or pointers.
The sumary should describe the situation but I'll write it out again here, just in case:
Modelling the universe as a RobertsonWalker universe  can the spacetime change its curvature (as time progresses) so that the geometry of the spatial hypersurface changes from one type (e.g. spherical) to another (e.g. flat) over its course of evolution?
I can post more info if required.