# asymptotic Hubble-function

18 Jun 2014What value will the Hubble-parameter reach asymptotically in the future in a \(\Lambda\)CDM cosmology? When are we within \(10^{-n}\), \(n=1,2,3\) of that value?

The Hubble-function of a $\Lambda$CDM cosmology is \(H(a) = H_0\sqrt{\frac{\Omega_m}{a^3} + \frac{1-\Omega_m-\Omega_\Lambda}{a^2} + \Omega_\Lambda}\) such that in the limit \(a\rightarrow\infty\) the Hubble function becomes \(H=H_0\sqrt{\Omega_\Lambda}\).