Cosmological Redshift: Equation & Universe History

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SUMMARY

The discussion centers on the cosmological redshift and its mathematical representation through the Friedmann equations. The key equation relating the scale factor a(t) to redshift z is established as a = 1/(1+z). This relationship is crucial for understanding the expansion history of the universe over time. The Friedmann equations serve as the foundational differential equations necessary for deriving the scale factor, which is essential for cosmological studies.

PREREQUISITES
  • Understanding of Friedmann equations
  • Knowledge of scale factor a(t) in cosmology
  • Familiarity with the concept of redshift z
  • Basic differential equations
NEXT STEPS
  • Research the derivation of the Friedmann equations
  • Explore the implications of the scale factor a(t) on cosmic expansion
  • Study the relationship between redshift z and distance in cosmology
  • Investigate the role of dark energy in the universe's expansion history
USEFUL FOR

Astronomers, cosmologists, physics students, and anyone interested in the mathematical foundations of the universe's expansion and redshift phenomena.

JPBenowitz
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What is the equation for the cosmological redshift as a function of the history of the universe? Basically as a function throughout all of time.
 
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JPBenowitz said:
What is the equation for the cosmological redshift as a function of the history of the universe? Basically as a function throughout all of time.

Look up the Friedmann equations on Wikipedia. They are differential equations which allow you to solve for the scale factor a(t). The scale factor expresses the expansion history of the universe and is related to the redshift z by the relation

a = 1/(1+z)
 

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