In cosmology, we are using the Friedmann equations for the evolution of the universe. And we are using this equation a lot.
$$\frac{H^2}{H_0^2} = \Omega_ma^{-3} + \Omega_{\Lambda} + \Omega_ra^{-4}$$
If we write $a(t)$ in terms of z,
$$H(z) = H_0\sqrt{\Omega_m(1+z)^{3} + \Omega_{\Lambda} + \Omega_r (1+z)^{4}}$$
I wonder by evaluating this function, for different omega values, what kind of different information(s) we can obtain
