In this paper, we examine the viability of Bianchi type V universe in [Formula: see text] theory of gravitation. To solve the field equations, we have considered the power law for scale factor and constructed a singular Lagrangian model which is based on the coupling between Ricci scalar [Formula: see text] and trace of energy–momentum tensor [Formula: see text]. We find the constraints on Hubble constant [Formula: see text] and free parameter [Formula: see text] with 46 observational Hubble dataset and obtain pretty satisfactory results. The physical features of the model and transitional behavior of equation of state (EOS) parameter are analyzed. We examine the nature of physical parameters and validity of energy conditions as well as stability condition. We also present the Om[Formula: see text] and statefinder diagnostic analysis for the derived model.

中文翻译：

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Bianchi V 型宇宙在 f(R,T) = f1(R) + f2(R)f3(T) 重力下的生存能力

在本文中，我们在[公式：见正文]万有引力理论中检验了比安奇 V 型宇宙的生存能力。为了求解场方程，我们考虑了比例因子的幂律，并构建了一个奇异的拉格朗日模型，该模型基于里奇标量[公式：见正文]和能量-动量张量的迹[公式：见正文]之间的耦合。我们用46个哈勃观测数据集找到了哈勃常数[公式：见正文]和自由参数[公式：见正文]的约束，并获得了相当满意的结果。分析了模型的物理特征和状态方程（EOS）参数的过渡行为。我们检查物理参数的性质和能量条件的有效性以及稳定性条件。我们还提出了 Om[公式：