I am trying to calculate equalities given Omega parameters.
For example given, $\Omega_L = 0.6889083, \Omega_M = 0.311, \Omega_R = 9.17$ x $10^{-5}$ and $\Omega_K = 0$
$H_0 = 67.7$ km/sec/Mpc
The redshift when Matter was equal to Radiation can be calculated as follows: $$ Z_{eq} = \Omega_M/\Omega_R - 1= 0.311/0.0000917 - 1 = 3390.49 $$
The redshift when Dark energy and Matter were equal can be calculated as follows: $$ \Omega_L = \Omega_M \rightarrow (\Omega_L/\Omega_M)^{1/3} - 1 = (0.6889083/0.311)^{1/3} - 1 = 0.3036$$
But how do you calculate the following:
- The redshift when Dark Energy was equal to Radiation (that is at Reionization)?