arXiv 1010.55012010-10-26astro-ph.COgr-qc

利用暗物质晕研究宇宙加速：一种新的普适质量函数

Using Dark Matter Haloes to Learn about Cosmic Acceleration: A New Proposal for a Universal Mass Function

C. Prescod-Weinstein, N. Afshordi

备注：: 10 pages, 6 figures, submitted for publication in ApJ

摘要：

结构的形成提供了对任何宇宙加速模型的强有力的检验，因为一个成功的暗能量模型不能抑制{ \black或过度预测}观测到的大尺度结构的发展。传统的研究暗能量或修正引力作用下结构形成的方法采用修正的Press-Schechter形式，将线性超密度与暗物质晕的丰度联系起来。我们严格审查的普适性的Press-Schechter形式主义为不同的宇宙学，并表明，晕丰度是最好的相关性与球形线性超密度在94%的崩溃（或观察）时间。然后，我们将这一论点扩展到椭球坍缩（这减少了小晕的最佳相关的分数时间，并表明我们的结果与模拟质量函数中看到的修改后的Press-Schechter形式主义的偏差一致。这提供了一个新的通用处方来衡量线性密度演化，基于当前和未来的观察团簇（或暗物质）晕质量函数。特别是，即使是在一个单一的时代集群丰度的观测将限制整个历史的线性增长的宇宙学的扰动。

英文摘要：

Structure formation provides a strong test of any cosmic acceleration model because a successful dark energy model must not inhibit {\black or overpredict} the development of observed large-scale structures. Traditional approaches to studies of structure formation in the presence of dark energy or a modified gravity implement a modified Press-Schechter formalism, which relates the linear overdensities to the abundance of dark matter haloes it at the same time. We critically examine the universality of the Press-Schechter formalism for different cosmologies, and show that the halo abundance is best correlated with spherical linear overdensity at 94% of collapse (or observation) time. We then extend this argument to ellipsoidal collapse (which decreases the fractional time of best correlation for small haloes, and show that our results agree with deviations from modified Press-Schechter formalism seen in simulated mass functions. This provides a novel universal prescription to measure linear density evolution, based on current and future observations of cluster (or dark matter) halo mass function. In particular, even observations of cluster abundance in a single epoch will constrain the entire history of linear growth of cosmological of perturbations.

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