Cosmological Redshift: Equation & Universe History

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The discussion centers on the equation for cosmological redshift as it relates to the universe's history. The Friedmann equations are highlighted as crucial differential equations that help determine the scale factor a(t), which describes the universe's expansion over time. The relationship between the scale factor and redshift is expressed as a = 1/(1+z). This equation allows for the calculation of redshift at different points in the universe's history. Understanding this relationship is essential for studying the dynamics of cosmic expansion.
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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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