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arXiv 1204.3148astro-ph.CO
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作为f(R)理论探测器的弱透镜峰计数

Weak lensing peak count as a probe of f(R) theories

V. F. Cardone, S. Camera, R. Mainini, A. Romano, A. Diaferio, R. Maoli, R. Scaramella

摘要:

星系团对微弱高红移星系的弱引力透镜,传统上被用来研究星系团的质量分布,并作为一种工具来识别剪切图中的峰值。然而,很快就清楚的是,峰值统计也可以作为一种方式来约束基础的宇宙学模型,因为它依赖于宇宙膨胀率和结构的增长率。从区分广义相对论和修正引力的角度来看,这一特征使得峰值统计特别有趣。在这里,我们考虑一般类的$f(R)$理论和计算的基础上的孔径质量统计的可观测质量函数。我们补充我们的理论分析与Fisher矩阵预测的约束,欧几里得\,-\,像调查可以施加在$f(R)$模型参数。我们表明,峰值统计单独可以在原则上区分广义相对论和$f(R)$模型和强烈约束的$f(R)$参数,是敏感的非线性增长的结构。然而,需要进一步的分析,以包括可能的选择功能的峰值红移的确定。

英文摘要:

Weak gravitational lensing by galaxy clusters on faint higher redshift galaxies has been traditionally used to study the cluster mass distribution and as a tool to identify clusters as peaks in the shear maps. However, it becomes soon clear that peaks statistics can also be used as a way to constrain the underlying cosmological model due to its dependence on both the cosmic expansion rate and the growth rate of structures. This feature makes peak statistics particularly interesting from the point of view of discriminating between General Relativity and modified gravity. Here we consider a general class of $f(R)$ theories and compute the observable mass function based on the aperture mass statistics. We complement our theoretical analysis with a Fisher matrix forecast of the constraints that an Euclid\,-\,like survey can impose on the $f(R)$ model parameters. We show that peak statistics alone can in principle discriminate between General Relativity and $f(R)$ models and strongly constrain the $f(R)$ parameters that are sensitive to the non-linear growth of structure. However, further analysis is needed in order to include possible selection function in the peaks redshift determination.

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