Can a radius of curvature be calulated from omega-k?

  • Context: Graduate 
  • Thread starter Thread starter Buzz Bloom
  • Start date Start date
  • Tags Tags
    Curvature Radius
Click For Summary
SUMMARY

The discussion centers on calculating the radius of curvature (R_c) using the curvature density parameter (Ωk) from a 2013 paper. Given the value Ωk = 0.0010, the formula for the radius of curvature is R_c = {c / H_0 √{|Ωk|}}. This formula allows for the determination of R_c, provided that the Hubble constant (H_0) is known. The discussion confirms that a specific value for R_c can indeed be derived from the provided Ωk value.

PREREQUISITES
  • Understanding of cosmological parameters, specifically Ωk
  • Knowledge of the Hubble constant (H_0)
  • Familiarity with basic cosmology equations
  • Ability to interpret scientific papers, particularly in astrophysics
NEXT STEPS
  • Research the Hubble constant (H_0) and its current measurements
  • Explore the implications of curvature density parameters in cosmology
  • Study the derivation and applications of the radius of curvature formula
  • Examine the 2013 paper for deeper insights into cosmological models
USEFUL FOR

Astronomers, astrophysicists, and students studying cosmology who are interested in the mathematical relationships between curvature parameters and the universe's geometry.

Buzz Bloom
Gold Member
Messages
2,517
Reaction score
465
A 2013 paper ( http://arxiv.org/pdf/1312.4854v1.pdf ) gives the following: Ωk = 0.0010 ± 0.0029. Can a value for the radius of curvature be determined from Ωk = 0.0010? If so, what is it, and what is the formula? If not, why not?
 
Space news on Phys.org
[tex]R_c={c \over H_0 \sqrt{|\Omega_k|}}[/tex]
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 14 ·
Replies
14
Views
4K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 4 ·
Replies
4
Views
3K