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arXiv 1010.3035astro-ph.COgr-qchep-thmath-phmath.MP
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大尺度结构拓扑结构的修正重力检验

Topology of large scale structure as test of modified gravity

Xin Wang, Xuelei Chen, Changbom Park

摘要:

等密度线的亏格是对大尺度结构拓扑结构的一种稳健度量,对非线性引力演化、星系偏置和红移空间畸变相对不敏感.我们发现,即使在一些修正的引力理论中的线性区域,密度涨落的增长也是与尺度相关的,这为用观测来检验这些理论提供了一种新的可能性。我们建议使用的等密度轮廓,大尺度结构的拓扑结构的内在措施,作为一个统计,在这样的测试中使用的属。在爱因斯坦的广义相对论中,密度涨落在线性区域中的所有尺度上都以相同的速率增长,并且当结构同源增长时,每个共动体积的亏格几乎是守恒的,因此我们预计亏格平滑尺度关系基本上是与时间无关的。然而,在一些修正的重力模型中,结构在不同的尺度上以不同的速率生长,属平滑尺度关系应该随时间而改变。这可用于用大尺度结构观测检验重力模型。我们研究了f(R)理论、DGP膜世界理论以及参数化后Friedmann(PPF)模型的情形。我们还预测了如何修改后的重力模型可以约束光学/红外或红移21厘米无线电调查在不久的将来。

英文摘要:

The genus of the iso-density contours is a robust measure of the topology of large scale structure, and it is relatively insensitive to nonlinear gravitational evolution, galaxy bias and redshift-space distortion. We show that the growth of density fluctuations is scale-dependent even in the linear regime in some modified gravity theories, which opens a new possibility of testing the theories observationally. We propose to use the genus of the iso-density contours, an intrinsic measure of the topology of large scale structure, as a statistic to be used in such tests. In Einstein's general theory of relativity, density fluctuations are growing at the same rate on all scales in the linear regime, and the genus per comoving volume is almost conserved as structures are growing homologously, so we expect that the genus-smoothing scale relation is basically time-independent. However, in some modified gravity models where structures grow with different rates on different scales, the genus-smoothing scale relation should change over time. This can be used to test the gravity models with large scale structure observations. We studied the case of the f(R) theory, DGP braneworld theory as well as the parameterized post-Friedmann (PPF) models. We also forecast how the modified gravity models can be constrained with optical/IR or redshifted 21cm radio surveys in the near future.

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