The present article deals with the study of interacting and non-interacting dark energy (DE) and dark matter (DM) in the spatially homogeneous and anisotropic Bianchi I space–time within the framework of Brans–Dicke (BD) scalar–tensor theory of gravitation. As the set of field equations is not closed, exact solutions are obtained using power-law relation and assuming a linearly varying deceleration parameter. The physical acceptability and stability of the obtained model are scrutinised using energy conditions and squared speed of sound. The statefinder diagnostic method is adopted to discuss and measure the deviation of the considered model from the $$\Lambda $$ Λ cold dark matter ( $$\Lambda $$ Λ CDM) model.

中文翻译：

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Brans-Dicke 理论中的一些 Bianchi I 暗能量模型

本文在 Brans-Dicke (BD) 标量-张量理论的框架内，研究空间均匀和各向异性 Bianchi I 时空中相互作用和非相互作用的暗能量 (DE) 和暗物质 (DM)。引力。由于场方程组不是封闭的，因此使用幂律关系并假设线性变化的减速参数来获得精确解。使用能量条件和声速平方来仔细检查所获得模型的物理可接受性和稳定性。采用状态查找器诊断方法讨论和测量所考虑模型与 $$\Lambda $$ Λ 冷暗物质 ( $$\Lambda $$ Λ CDM) 模型的偏差。