The main purpose of this paper is to investigate LRS Bianchi type I metric in the presence of perfect fluid and dark energy. In order to obtain a deterministic solution of the field equations we have assumed that the two sources of the perfect fluid and dark energy interact minimally with separate conservation of their energy–momentum tensors as well EoS parameter of the perfect fluid is assumed to be constant. In addition to this we have used a special law of variation of Hubble parameter proposed by Berman that yields constant deceleration parameter. For the two different constant values of deceleration we have obtained two different cosmological models. The physical behaviors of both the models have been discussed by using MATLAB.

中文翻译：

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用 LRS Bianchi I 型时空加速暗能量宇宙

本文的主要目的是研究 LRS Bianchi I 型度量在完美流体和暗能量存在的情况下。为了获得场方程的确定性解，我们假设完美流体和暗能量的两个来源与它们的能量-动量张量的单独守恒以及完美流体的 EoS 参数的相互作用最小。除此之外，我们还使用了伯曼提出的哈勃参数变化的特殊定律，它产生了恒定的减速参数。对于两个不同的减速度常数值，我们得到了两个不同的宇宙学模型。已经使用 MATLAB 讨论了这两种模型的物理行为。