What does "expansion of the universe" mean?

In summary: To your point however, if the trace of the expansion tensor is positive then the congruence is separating. If you time reverse everything (manifold and congruence)...the trace will become negative.In summary, the universe is expanding. This is also a coordinate independent fact.
  • #36
MeJennifer said:
But it wasn't!

I have no idea what you mean. "The expansion of the universe" is standardly defined, in cosmology, to mean "the expansion of the congruence of worldlines of comoving observers".

[Moderator's note: Edited to delete comment on which forum this discussion was taking place in; discussion has now been moved to Cosmology.]
 
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  • #37
PeterDonis said:
The disk is not spacetime; it's a family of worldlines in spacetime. The universe is spacetime.
Ah, I see the difference. I am thinking about the "dust" as defining the universe, and you are thinking about the spacetime. I agree that the spacetime does not single out any specific congruence, but the dust does.
 
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  • #38
Dale said:
I agree that the spacetime does not single out any specific congruence, but the dust does.

Exactly.
 
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