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I think it should be stressed that that manifold is a hyperbolic space, not a hyperboloid. These are not the same thing.PAllen said:
I Is Minkowski spacetime a solution of the Friedmann Equations?
- Thread starter timmdeeg
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The discussion centers on whether Minkowski spacetime can be considered a solution to the Friedmann Equations, particularly in relation to the curvature parameter k. It is established that both the static Minkowski spacetime (k = 0) and the expanding FRW universe with k = -1 are mathematically equivalent, differing only in their coordinate representations. The confusion arises from interpreting k as a physical property rather than a coordinate-dependent parameter. The participants clarify that while the k = -1 solution describes an expanding universe, it is still fundamentally Minkowski space, just expressed in different coordinates. Ultimately, the conversation emphasizes the importance of understanding the coordinate dependence of spacetime metrics in cosmological models.
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