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 an χ2 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 Pantheon 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 (Ωm)0 and (ΩΛ)0. The present value of deceleration parameter of the universe in derived model is obtained as q0 = −0.59−0.03+0.04 and − 0.59−0.03+0.02 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 a transition redshift exists. Thus, the universe in the derived model represents a transitioning universe which is in an accelerated phase of expansion at present epoch. We have estimated the current age of the universe (t0) and present value of the jerk parameter (j0). Our obtained values of t0 and j0 are in good agreement with their values estimated by Planck collaborations and WMAP observations.

中文翻译：

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Bianchi V时空可观测宇宙的精确解

在本文中，我们通过将宇宙学常数作为能量来源来研究 Bianchi V 型时空中的可观测宇宙。我们进行了一次χ2测试以获得宇宙模型参数在派生模型中的最佳拟合值。我们使用了两种类型的数据集，即：（i）哈勃参数的 31 个值和（ii）各种超新星距离模量和视星等的 1048 万神殿数据集。从这两个数据集中，我们估计了哈勃常数、密度参数的当前值(Ω米)0和(ΩΛ)0. 推导模型中宇宙减速度参数的现值为q0 = -0.59-0.03+0.04和 - 0.59-0.03+0.02依据H(z)和万神殿数据，分别。我们还观察到减速参数的符号从正到负有一个签名翻转，并且存在过渡红移。因此，派生模型中的宇宙代表了一个过渡宇宙，它在当前时代处于加速膨胀阶段。我们已经估计了当前宇宙的年龄(吨0)和 jerk 参数的当前值(j0). 我们得到的值吨0和j0与普朗克合作和 WMAP 观测估计的值非常一致。