标题： 具有空间曲率的霍恩德斯基本理论中的线性扰动 显示英文标题

标题： Linear perturbations in Horndeski theories with spatial curvature

摘要： 我们分析了空间曲率在修正引力模型中的影响。众所周知，当前的标准宇宙学模型——平滑冷暗物质（$\Lambda$CDM）基于许多实验结果假设空间平坦。然而，这一陈述对于修正引力（MG）模型并不一定成立，这导致了空间曲率与所选宇宙学模型参数之间的耦合。本文通过基于暗能量（DE）有效场理论（EFT）形式主义的模型无关方法，展示了线性阶标量和张量扰动模式运动方程如何受到空间曲率影响的理论发展过程。结果显示，空间曲率与标量场扰动以及表征模型的函数之间存在耦合。 显示英文摘要

摘要： We analyse the implications of the presence of spatial curvature in modified gravity models. As it is well known, the current standard cosmological model, the $\Lambda$CDM, is assumed to be spatially flat based on the results of many experiments. However, this statement does not necessarily hold for a modified gravity (MG) model, and this leads to couplings of the spatial curvature with the parameters of the chosen cosmological model. In this paper, we illustrate the theoretical development of how spatial curvature affects the equations of motion at linear order for scalar and tensor perturbations modes using a model-independent approach based on the formalism of the Effective Field Theory (EFT) of dark energy (DE). The results show that spatial curvature gives rise to a coupling with the scalar field perturbations and the functions parameterizing the model.