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

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SUMMARY

The critical density is defined as the density required for the universe to be spatially flat. It is derived from the condition that the universe must maintain spatial flatness, which is directly influenced by the rate of expansion. The formula for critical density is given by ρ_c = 3H_0² / 8πG, where H_0 represents the Hubble constant and G is the gravitational constant. Understanding this concept is essential for comprehending the overall geometry and fate of the universe.

PREREQUISITES
  • Understanding of cosmological principles
  • Familiarity with the Hubble constant (H_0)
  • Knowledge of gravitational constant (G)
  • Basic grasp of spatial geometry in cosmology
NEXT STEPS
  • Research the implications of critical density on cosmic evolution
  • Study the relationship between the Hubble constant and universe expansion
  • Explore the concept of spatial curvature in cosmology
  • Learn about the role of dark energy in influencing critical density
USEFUL FOR

Astronomers, cosmologists, and students of physics seeking to deepen their understanding of the universe's structure and expansion dynamics.

LSulayman
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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.
 
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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:

\rho_c = {3 H_0^2 \over 8\pi G}
 

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