Re: The Geometry of the Universe

Posted by DickT on September 10, 19101 at 06:13:44:

In Reply to: The Geometry of the Universe posted by AlexanderS1 on September 08, 19101 at 19:50:31:

Cosmologies with the universe uniformly curved into a "pretty" shape are approximations using the Robinson-Walker metric. The RW metric is derived from Einstein's equations by assuming constant curvature.

In more general approaches, spacetime is assumed to be nearly flat between gravity wells.

And the curvature in GR is "intrinsic"; it is all defined within spacetime, there is no higher dimensional space to hold the curvature as there is in the low dimensional analogies (balloon, rubber sheet).

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