论文标题
Bianchi V时空中可观察到的宇宙的精确解决方案
An exact solution of the observable universe in Bianchi V space-time
论文作者
论文摘要
在本文中，我们考虑了宇宙学常数作为能源的来源，调查了比安奇型时空中可观察到的宇宙。我们已经执行了$χ^{2} $测试，以在派生模型中获得宇宙模型参数的最佳拟合值。我们使用了两种类型的数据集，即：i）31个哈勃参数的值，ii）各种超新星距离模量和明显幅度的1048 Phanteon数据集。从两个数据集中，我们估计了哈勃常数的当前值，密度参数$（ω__{m}）_ {0} $和$（ω_ /λ）_ {0} $。在派生模型中，宇宙减速参数的现值作为$ q_ {0} = 0.59^{+0.04} _ { - 0.03} $和$ 0.59^{+0.02} _ { - 0.02} _ { - 0.03} $，分别符合$ H（Z）$和PANTHEON数据。我们还观察到，从正向到阴性和过渡红移的迹象中存在一个签名翻转。因此，衍生模型中的宇宙代表了一个过渡宇宙，该宇宙在当前时期处于膨胀的加速阶段。我们已经估计了宇宙的当前年龄$（t_ {0}）$和混蛋参数$（J_ {0}）$的现值。我们获得的$ t_ {0} $和$ j_ {0} $的值与木板协作和WMAP观测值估计的值非常吻合。
In this paper we investigate an observable universe in Bianchi type V space-time by taking into account the cosmological constant as the source of energy. We have performed a $χ^{2}$ test to obtain the best fit values of the model parameters of the universe in the derived model. We have used two types of data sets, viz: i) 31 values of the Hubble parameter and ii) the 1048 Phanteon data set of various supernovae distance moduli and apparent magnitudes. From both the data sets, we have estimated the current values of the Hubble constant, density parameters $(Ω_{m})_{0}$ and $(Ω_Λ)_{0}$. The present value of deceleration parameter of the universe in derived model is obtained as $q_{0} = 0.59^{+0.04}_{-0.03}$ and $0.59^{+0.02}_{-0.03}$ in accordance with $H(z)$ and Pantheon data respectively. Also we observe that there is a signature flipping in the sign of deceleration parameter from positive to negative and transition red-shift exists. Thus, the universe in derived model represents a transitioning universe which is in accelerated phase of expansion at present epoch. We have estimated the current age of the universe $(t_{0})$ and present value of jerk parameter $(j_{0})$. Our obtained values of $t_{0}$ and $j_{0}$ are in good agreement with its values estimated by Plank collaborations and WMAP observations.
