论文标题
$ f（t）$重力的非平板宇宙学的扰动
Perturbations in Non-Flat Cosmology for $f(T)$ gravity
论文作者
论文摘要
$ f（t）$重力中宇宙学扰动理论的研究是对远程平行重力引起的极大兴趣的话题，因为这是该理论中最简单的概括之一，它修改了相当于一般相对论的远程。在这项工作中，我们探讨了非平板FLRW背景解决方案的可能性，并对积极和负弯曲的空间几何形状进行扰动，并与平面案例进行比较。我们确定使用最通用的均质和各向同性背景四元，确定了此非FLAT FLRW设置的扰动模式的广义行为。我们还确定了本设置中的传播模式，并将其与平坦的宇宙学情况联系起来。
The study of cosmological perturbation theory in $f(T)$ gravity is a topic of great interest in teleparallel gravity since this is one of the simplest generalizations of the theory that modifies the teleparallel equivalent of general relativity. In this work, we explore the possibility of a non-flat FLRW background solution and perform perturbations for positively as well as negatively curved spatial geometries, together with a comparison to the flat case. We determine the generalized behaviour of the perturbative modes for this non-flat FLRW setting for arbitrary $f(T)$ models, when the most general homogeneous and isotropic background tetrads are used. We also identify propagating modes in this setup, and relate this with the case of a flat cosmology.
