Constraining The Hubble Parameter Using Distance Modulus - Redshift Relation

Abstract

Using the relation between distance modulus $(m-M)$ and redshift $z$, deduced from Friedman- Robertson-Walker (FRW) metric and assuming different values of deceleration parameter $q_0$. We constrained the Hubble parameter $h$. The estimates of the Hubble parameters we obtained using the median values of the data obtained from NASA Extragalactic Database (NED), are: $h=0.7\pm 0.3$, for $q_0=0$, $h=0.6\pm 0.3$, for $q_0=1$ and $h=0.8\pm 0.3$ , for $q_0=-1$. The corresponding age $\tau$ and size $R$ of the observable universe were also estimated as: $\tau =15\pm 1$ $Gyr$, $R=(5\pm 2)\times 10^3$ $Mpc$, $\tau =18\pm 1$ $Gyr$, $R=(6\pm 2)\times 10^3$ $Mpc$ and $\tau =13\pm 1$ $Gyr$, $R=(4\pm 2)\times 10^3$ $Mpc$ for $q_0=0$, $q_0=1$ and $q_0=-1$ respectively.

12 pages, 3 figures