Consider the universe at a redshift of z = 2. What is the
average matter density in the universe then compared to now? What
is the average radiation energy density then compared to now? What
is the temperature of the background radiation then? Suppose the
energy density in matter, ρc 2 , is now 2000 times greater than the
energy density in radiation. At what redshift did matter and
radiation have equal energy densities?.