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arXiv 2103.02274gr-qcastro-ph.CO
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膨胀历史接近$Λ$ CDM的$f(R)$宇宙学的模型无关研究

A model independent approach to the study of $f(R)$ cosmologies with expansion histories close to $Λ$CDM

Saikat Chakraborty, Kelly MacDevette, Peter Dunsby

摘要:

我们提出了一个新的框架来研究$f(R)$引力的宇宙学,它完全避免了使用重建程序。这使我们能够很容易地获得一个定性的感觉有多少$Λ$ CDM模型不同于其他$f(R)$理论的引力在线性微扰理论的水平,共享相同的背景动力学的理论。这是通过使用标准模型独立的宇宙学参数,以开发一个新的动力系统制定的$f(R)$重力是免费的限制,必须首先指定的功能形式的$f(R)$。通过考虑一组有代表性的轨迹,这是无法区分的$Λ$ CDM,我们使用纯粹的定性参数,以确定这些模型偏离标准模型的程度,包括分析的线性增长率的密度波动,也是否遭受多尔戈夫-川崎不稳定性。我们发现,如果一个要求,晚时间$f(R)$宇宙学是观测接近的$Λ$ CDM模型,有一个更高的风险,它遭受多尔戈夫-川崎不稳定性。相反,人们越是试图构建一个物理上可行的晚期$f(R)$宇宙学,它就越有可能在观测上不同于$Λ$ CDM模型。

英文摘要:

We propose a new framework for studying the cosmology of $f(R)$ gravity which completely avoids using the reconstruction programme. This allows us to easily obtain a qualitative feel of how much the $Λ$CDM model differs from other $f(R)$ theories of gravity at the level of linear perturbation theory for theories that share the same background dynamics. This is achieved by using the standard model independent cosmographic parameters to develop a new dynamical system formulation of $f(R)$ gravity which is free from the limitation of having to first specify the functional form of $f(R)$. By considering a set of representative trajectories, which are indistinguishable from $Λ$CDM, we use purely qualitative arguments to determine the extent to which these models deviate from the standard model by including an analysis of the linear growth rate of density fluctuations and also whether or not they suffer from the Dolgov-Kawasaki instability. We find that if one demands that a late time $f(R)$ cosmology is observationally close to the $Λ$CDM model, there is a higher risk that it suffers from a Dolgov-Kawasaki instability. Conversely, the more one tries to construct a physically viable late time $f(R)$ cosmology, the more likely it is observationally different from the $Λ$CDM model.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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