Testing gravity theory on the cosmological scales using the next generation dark energy surveys

我们研究了用来解释宇宙加速膨胀的修正引力模型是否真的可行的问题。为此，我们从宇宙学一致性的角度对这些方面进行了研究，得到了以下结果。(1)建立了利用星系分布的多极能谱在宇宙尺度上检验引力理论的方法，并通过SDSS星系样本验证了该方法的有效性。(2)阐明了f(R)模型、伽利略模型及其扩展版本的宇宙学模型的特征行为和性质。我们得到了每个模型的有用约束。(3)我们发现了星系团外围区域可能出现修正引力模型的特征，并结合x射线、透镜效应和星系团的Sunyaev-Zeldovich效应观测，提出了一种新的引力测试方法。

We studied the problem of whether the modified gravity models, which are proposed to explain the cosmic accelerated expansion, can be really viable solutions or not. To this end, we studied the aspects from the view points of the cosmological consistency, and obtained the following results. (1) We established the method of testing the gravity theory on the cosmological scales using the multipole power spectrum in the galaxy distribution, and demonstrated the usefulness of the method with the SDSS galaxy samples. (2) We clarified the characteristic behaviors and properties of the cosmological models of an f(R) model, the galileon models and its extended versions. We obtained the useful constraints on each model. (3) We found the possibility that a characteristic feature of modified gravity models may appear in the outskirt region of galaxy clusters, and developed a new method for testing gravity by combining X-ray, lensing, and Sunyaev-Zeldovich effect observations of a cluster.