Abstract In this paper we have investigated Bianchi Type- I cosmological model with varying cosmological constant Λ in f(R, T) theory of gravity. In order to obtain an exact solution of the field equations, we have used a special law of Hubble parameter proposed by Banerjee and Das (Gen Relat Gravit 37 (2005) 1695–1703), which leads to a time dependent deceleration parameter. We have discussed the physical and kinematical properties of the model in detail. The statefinder diagnostic parameters have also been considered. It has been shown that our universe model is consistent with the recent observations and approaches the ΛCDM model at late times.

中文翻译：

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在 (, ) 引力理论中，随着 Λ 的变化加速宇宙

摘要 本文研究了f(R, T)引力理论中具有变化宇宙常数Λ的Bianchi Type-I宇宙学模型。为了获得场方程的精确解，我们使用了 Banerjee 和 Das (Gen Relat Gravit 37 (2005) 1695–1703) 提出的哈勃参数的特殊定律，这导致了与时间相关的减速参数。我们已经详细讨论了模型的物理和运动学特性。还考虑了状态查找器诊断参数。已经表明，我们的宇宙模型与最近的观察结果一致，并在后期接近 ΛCDM 模型。