Critical Density: What Is It and Where Does It Come From?

Click For Summary

Discussion Overview

The discussion centers around the concept of critical density in cosmology, exploring its definition, implications for the universe's geometry, and its dependence on the rate of expansion. Participants seek to clarify what critical density means and how it is derived.

Discussion Character

  • Conceptual clarification, Technical explanation

Main Points Raised

  • One participant asks for a clear definition of critical density and its origins, noting that existing articles do not provide sufficient explanation.
  • Another participant explains that critical density is the density required for a spatially flat universe, suggesting that it is derived from the condition of spatial flatness itself.
  • A third participant agrees with the explanation, finding it logical despite its simplicity.
  • A further contribution highlights that critical density is dependent on the rate of expansion, indicating that a higher expansion rate necessitates a greater density for maintaining spatial flatness, providing a mathematical expression for this relationship.

Areas of Agreement / Disagreement

Participants generally agree on the definition of critical density and its relation to spatial flatness, but there is an acknowledgment of the dependence on the rate of expansion, which introduces additional complexity.

Contextual Notes

The discussion does not address potential limitations or assumptions underlying the definition of critical density, nor does it explore the implications of varying expansion rates in detail.

LSulayman
Messages
42
Reaction score
0
What exactly does the critical density mean?
In articles they keep comparing the desity of the universe to the critical density and what the consequences are but nobody explains what exactly the critical density is and where it comes from.
 
Space news on Phys.org
The critical density is the density required to have a spatially FLAT universe. It comes from... well, requiring that the universe be spatially flat!

Does that answer your question?
 
Yes it does! A rather simple answer, but very logical actually.
 
I think I'd also like to point out that the critical density depends upon the rate of expansion. A larger rate of expansion requires a greater density for spatial flatness. Specifically:

[tex]\rho_c = {3 H_0^2 \over 8\pi G}[/tex]
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 24 ·
Replies
24
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 20 ·
Replies
20
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 8 ·
Replies
8
Views
2K