标量-张量理论中大尺度结构的唯象：Horndeski中$w_{\textrm{DE}}$，$Σ$和$μ$的联合先验协方差
Phenomenology of Large Scale Structure in scalar-tensor theories: joint prior covariance of $w_{\textrm{DE}}$, $Σ$ and $μ$ in Horndeski
摘要：
正在进行和即将进行的宇宙学调查将显着提高我们的能力，探测暗能量的状态方程，$w_{\rm DE}$，和大尺度结构的现象。它们将使我们能够约束偏离$Λ$ CDM预测的物质密度对比度和弱透镜和牛顿势之间的关系，分别由函数$Σ$和$μ$描述。在这项工作中，我们推导出联合协方差的$w_{\rm DE}$，$Σ$和$μ$，预计在一般标量张量理论与二阶运动方程（Horndeski重力），专注于它们的时间依赖性在某些代表性的尺度。我们采用蒙特卡罗方法来产生大量的统计独立的Horndeski模型，专注于那些物理上可行的和广泛的协议与当地的重力测试，观测到的宇宙膨胀的历史和测量的速度引力波从一个二进制中子星合并。我们确定了几个有趣的功能和趋势的分布函数的$w_{\rm DE}$，$Σ$和$μ$，以及在他们的协方差，我们确认的高度相关性之间的$Σ$和$μ$在标量张量理论。导出的先验协方差矩阵将允许我们以非参数方式联合重建$w_{\rm DE}$、$Σ$和$μ$。
英文摘要：
Ongoing and upcoming cosmological surveys will significantly improve our ability to probe the equation of state of dark energy, $w_{\rm DE}$, and the phenomenology of Large Scale Structure. They will allow us to constrain deviations from the $Λ$CDM predictions for the relations between the matter density contrast and the weak lensing and the Newtonian potential, described by the functions $Σ$ and $μ$, respectively. In this work, we derive the theoretical prior for the joint covariance of $w_{\rm DE}$, $Σ$ and $μ$, expected in general scalar-tensor theories with second order equations of motion (Horndeski gravity), focusing on their time-dependence at certain representative scales. We employ Monte-Carlo methods to generate large ensembles of statistically independent Horndeski models, focusing on those that are physically viable and in broad agreement with local tests of gravity, the observed cosmic expansion history and the measurement of the speed of gravitational waves from a binary neutron star merger. We identify several interesting features and trends in the distribution functions of $w_{\rm DE}$, $Σ$ and $μ$, as well as in their covariances; we confirm the high degree of correlation between $Σ$ and $μ$ in scalar-tensor theories. The derived prior covariance matrices will allow us to reconstruct jointly $w_{\rm DE}$, $Σ$ and $μ$ in a non-parametric way.
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