标题： 具有有效复合度规的大质量引力中的宇宙学 显示英文标题

标题： Cosmology in massive gravity with effective composite metric

摘要： 本文致力于仔细研究大质量引力中的宇宙学。暗区的一个物质场与有效复合度规耦合，而标准物质场则以通常的方式与动态度规耦合。为此，我们通过相位分析研究宇宙学解的动力系统，这提供了对该设置下宇宙学解类的概述。这也使我们能够研究宇宙学方程的临界点及其稳定性。我们展示了与晚期宇宙加速相关的稳定吸引子德西特临界点的存在。此外，我们在存在标准物质场的情况下研究了张量、矢量和标量扰动，并得到了无鬼态和梯度不稳定的条件。因此，在存在有效复合度规的大质量引力可以容纳有趣的暗能量现象，根据膨胀历史和宇宙增长，这些现象在观测上可以与标准模型区分开来。 显示英文摘要

摘要： This paper is dedicated to scrutinizing the cosmology in massive gravity. A matter field of the dark sector is coupled to an effective composite metric while a standard matter field couples to the dynamical metric in the usual way. For this purpose, we study the dynamical system of cosmological solutions by using phase analysis, which provides an overview of the class of cosmological solutions in this setup. This also permits us to study the critical points of the cosmological equations together with their stability. We show the presence of stable attractor de Sitter critical points relevant to the late-time cosmic acceleration. Furthermore, we study the tensor, vector and scalar perturbations in the presence of standard matter fields and obtain the conditions for the absence of ghost and gradient instabilities. Hence, massive gravity in the presence of the effective composite metric can accommodate interesting dark energy phenomenology, that can be observationally distinguished from the standard model according to the expansion history and cosmic growth.