What is the Hubble Parameter over time and how can I calculate it?

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SUMMARY

The Hubble Parameter, denoted as H, decreases over time and approaches a constant value, specifically H∞ = H0√ΩΛ, where H0 represents the current Hubble constant and ΩΛ is the current dark energy density. This relationship indicates that as redshift (z) approaches -1 in the far future, the Hubble Parameter stabilizes. Users can visualize this relationship using the calculator provided at the LightCone7 website, which allows for graphing the Hubble Parameter over time.

PREREQUISITES
  • Understanding of cosmological concepts such as redshift (z)
  • Familiarity with the Hubble constant (H0)
  • Knowledge of dark energy density (ΩΛ)
  • Basic skills in using online graphing calculators
NEXT STEPS
  • Research the implications of dark energy on cosmic expansion
  • Learn how to use the LightCone7 calculator for Hubble Parameter calculations
  • Explore the relationship between redshift and the Hubble Parameter in cosmology
  • Study the historical values of the Hubble constant and their significance
USEFUL FOR

Astronomers, cosmologists, and physics students interested in understanding the dynamics of cosmic expansion and the role of dark energy in the universe.

Arman777
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How can I calculate the Hubble Parameter in time. I know that it decreases in time and approaches to some constant value but I am not sure to what value, Is there any graph for that ?
 
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Take a look at the first equation here:
https://www.physicsforums.com/insights/lightcone7-tutorial-part-iii-things-computed/
For far future, z tends to -1, so the equation reduces to ##H_\infty=H_0\sqrt{\Omega_\Lambda}## with current dark energy density as the input.
You can use the calculator itself to graph the relationship:
http://www.einsteins-theory-of-relativity-4engineers.com/LightCone7-2017-02-08/LightCone_Ho7.html
upload_2019-1-30_8-46-35.png
 

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