Equation for cosmological redshift as a function of the universe's history

[JPBenowitz]

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.

 

[cepheid]

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)