We present a brief review of the modified Brans-Dicke theory (MBDT) inarbitrary dimensions, whereby the ($N+1$)-dimensional field equations reduce tothe $N$-dimensional $(ND)$ configuration with sources and an effective inducedscalar potential. We then investigate a generalized Bianchi type~I anisotropiccosmology in $5D$ BD theory that leads to an extended Kasner solution. Byemploying the original equations of MBDT, we probe the reduced Kasner cosmologyon the hypersuface with proceeding the investigations for a few cosmologicalquantities, explaining their properties for some cosmological models.}
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机译：我们简要介绍一下经过修改的Brans-Dicke理论（MBDT）的任意维度，其中（$ N + 1 $）维场方程可简化为带有源和有效感应标量的$ N $维$（ND）$构型潜在。然后，我们在$ 5D $ BD理论中研究广义的Bianchi I型各向异性宇宙学，该理论导致了扩展的Kasner解。通过使用MBDT的原始方程，我们在超表面上探索了简化的Kasner宇宙论，并进行了一些宇宙学量的研究，并解释了它们在某些宇宙学模型中的性质。}
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