用距离模-红移关系约束哈勃参数
Constraining The Hubble Parameter Using Distance Modulus - Redshift Relation
摘要：
利用从Friedman-Robertson-Walker（FRW）度规导出的距离模$(m - M)$和红移$z$之间的关系，并假设不同的减速参数$q_0$值。我们约束了哈勃参数$h$。我们使用从NASA河外星系数据库（NED）获得的数据的中值获得的哈勃参数的估计是：$h = 0.7\pm0.3$，$q_0 = 0$，$h = 0.6\pm0.3$，$q_0 = 1$和$h = 0.8\pm0.3$，$q_0 = -1$。可观测宇宙的相应年龄$τ$和尺寸$R$也分别估计为：$τ= 15\pm1$ $ Gyr$、$R = (5\pm2) \times 10^3$ $Mpc$、$τ= 18\pm1$ $Gyr$、$R=(6\pm2)\times 10^3$ $Mpc$和$τ=13\pm1$ $Gyr$、$R = (4 \pm 2)\times10^3$ $Mpc$（$q_0 = 0$、$q_0 = 1$和$q_0 = -1$）。
英文摘要：
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: $h = 0.7\pm0.3$, for $q_0 = 0$, $h = 0.6\pm0.3$, for $q_0 = 1$ and $h = 0.8\pm0.3$ , for $q_0 = -1$. The corresponding age $τ$ and size $R$ of the observable universe were also estimated as: $τ= 15\pm1$ $ Gyr$, $R = (5\pm2) \times 10^3$ $Mpc$, $τ= 18\pm1$ $Gyr$, $R=(6\pm2)\times 10^3$ $Mpc$ and $τ=13\pm1$ $Gyr$, $R = (4 \pm 2)\times10^3$ $Mpc$ for $q_0 = 0$, $q_0 = 1$ and $q_0 = -1$ respectively.
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