In order to highlight time-varying constants such as the universal gravitation constant and to elucidate the effects of higher dimensions on cosmological parameters in the universe, we developed a toy cosmological model based upon an anisotropic n-dimensional spatial universe within an (n + 1)-dimensional spacetime. A dynamical power law model for dark energy is considered. The observational parameters of this cosmology are predicted and discussed. Considerable attention is devoted to the application of the extra-dimensional n-dimensional anisotropic cosmology model resulting in a universe consistent with current observations.

中文翻译：

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具有可变引力和宇宙学参数的各向异性比安奇 I 型宇宙学中任意大空间维度的研究

为了突出时变常数，如万有引力常数，并阐明更高维度对宇宙中宇宙学参数的影响，我们开发了一个基于各向异性n维空间宇宙的玩具宇宙学模型( n + 1 )维时空。考虑了暗能量的动态幂律模型。对该宇宙学的观测参数进行了预测和讨论。相当多的注意力集中在超维n维各向异性宇宙学模型的应用上，导致宇宙与当前的观测结果一致。