Recently, a novel Einstein–Gauss–Bonnet gravity in four dimensions has been introduced (Glavan and Lin, 2020). We will investigate cosmological consequences of this model in details. We will consider linear matter density perturbations and also estimate relevant modified gravity parameters. Specially we will concentrate on the growth rate of non-relativistic matter perturbations on top of FRW geometry and show that for a narrow range of the Gauss–Bonnet coupling constant, observational data will be satisfied. In this paper, it is shown that for enough large values of the coupling constant, the suggested ${\sigma }_8$ will become greater than $\Lambda$CDM value.

中文翻译：

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4D爱因斯坦-高斯-贝内特引力对物质密度扰动的增长

最近，在四个维度上提出了一种新颖的爱因斯坦-高斯-贝内特引力（Glavan和Lin，2020年）。我们将详细研究此模型的宇宙学后果。我们将考虑线性物质密度扰动，并估计相关的修正重力参数。特别是，我们将集中在FRW几何之上的非相对论物质扰动的增长率，并表明对于狭窄范围的高斯-贝纳特耦合常数，将满足观测数据。本文表明，对于足够大的耦合常数，建议${\sigma }_8$ 将变得大于 $\Lambda$CDM值。