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arXiv 2207.09896astro-ph.CO
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宇宙膨胀率对修正结构增长约束的影响

The impact of the Universe's expansion rate on constraints on modified growth of structure

Jaime Ruiz-Zapatero, David Alonso, Pedro G. Ferreira, Carlos Garcia-Garcia

摘要:

在修正引力的背景下,在线性水平上,宇宙结构的增长将受到泊松方程的修正和宇宙背景膨胀率的影响。已经表明,这两种效应导致了简并性,如果要对大尺度上的新力施加可靠的约束,或者等价地对广义相对论进行修改,就必须对简并性进行适当的解释。在本文中,我们表明,目前的限制是这样的背景膨胀的假设几乎没有影响的约束修改重力。我们这样做,考虑背景的$Λ$冷暗物质($Λ$ CDM)的宇宙,宇宙与更一般的状态方程的暗能量,最后,一个一般的,模型无关的,膨胀率。我们使用高斯过程模型修改泊松方程,并在一般的膨胀率的情况下,模型的红移依赖哈勃速率。我们确定的泊松方程和背景物质密度,$Ω_M$,这只能通过假设模型依赖的膨胀率的修改之间的简并性。我们表明,与目前的数据,通过测量的增长率范围之间的$10-20\%$取决于我们的假设宇宙的膨胀率的强度的泊松方程的修改的约束。

英文摘要:

In the context of modified gravity, at linear level, the growth of structure in the Universe will be affected by modifications to the Poisson equation and by the background expansion rate of the Universe. It has been shown that these two effects lead to a degeneracy which must be properly accounted for if one is to place reliable constraints on new forces on large scales or, equivalently, modifications to General Relativity. In this paper we show that current constraints are such that assumptions about the background expansion have little impact on constraints on modifications to gravity. We do so by considering the background of a $Λ$ Cold Dark Matter ($Λ$CDM) universe, a universe with a more general equation of state for the dark energy, and finally, a general, model-independent, expansion rate. We use Gaussian Processes to model modifications to Poisson's equation and, in the case of a general expansion rate, to model the redshift dependent Hubble rate. We identify a degeneracy between modifications to Poisson's equation and the background matter density, $Ω_M$, which can only be broken by assuming a model-dependent expansion rate. We show that, with current data, the constraints on modifications to the Poisson equation via measurements of the growth rate range between $10-20\%$ depending on the strength of our assumptions on the Universe's expansion rate.

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