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arXiv 2304.02522astro-ph.COgr-qchep-ph
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修正引力范式的定量约束

Quantitative constraints on modified gravity paradigms

S. R. Pinto, A. M. Cabral, C. J. A. P. Martins

备注：
11 pages, 8 figures, Phys. Rev. D (in press)
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AI总结：

本文利用低红移宇宙学数据约束三类修正引力模型，发现参数化扩展紧密趋近$\Lambda$CDM，且Regge-Teitelboim的两种实现被排除。

摘要：

我们利用低红移背景宇宙学数据，对三个独立的修正引力模型施加定量约束；每个模型都旨在通过不同的物理机制解释低红移加速。Lifshitz宇宙学实际上是标准$\Lambda$CDM模型的参数化扩展，其中随时间变化的宇宙学常数来源于真空能。Infinite Statistics模型同样是$\Lambda$CDM的参数化扩展，其中暗能量是动力学的，并来源于对偶时空的曲率。我们表明，数据将这些模型中的附加参数限制在与其$\Lambda$CDM取值相一致的范围内；特别地，这意味着Lifshitz模型中一个无量纲耦合参数的理论预言值以超过六个标准差的水平被排除。在Regge-Teitelboim模型中，引力通过将通常的时空流形嵌入固定的高维背景来描述，并且不存在参数化的$\Lambda$CDM极限。我们研究了该模型的几个独立实现，分别由Davidson、Fabi等人以及Stern与Xu提出，并表明前两者被我们使用的低红移数据排除，而后者与这些数据一致，但需要非标准的物质密度取值。总体而言，我们的分析突显了当前数据对允许存在的、偏离标准$\Lambda$CDM背景演化的低红移偏差所施加的严格约束。

英文摘要：

We use low-redshift background cosmology data to place quantitative constraints on three separate modified gravity models, each of which aims to explain the low-redshift acceleration through a different physical mechanism. The Lifshitz cosmology is effectively a parametric extension of the canonical $Λ$CDM model, where a time-dependent cosmological constant originates from vacuum energy. The Infinite Statistics model is also a parametric extension of $Λ$CDM, where the dark energy is dynamic and originates from the curvature of a dual space-time. We show that the data restricts the additional parameters in these models to be consistent with their $Λ$CDM values, and in particular that it implies that the theoretically predicted value for a dimensionless coupling parameter in the Lifshitz model is ruled out at more than six standard deviations. In the Regge-Teitelboim model, gravity is described by embedding the usual space-time manifold in a fixed higher-dimensional background, and there is no parametric $Λ$CDM limit. We study several separate realizations of the model, respectively introduced by Davidson, by Fabi \textit{et al.}, and by Stern \& Xu, and show that the first two are ruled out by the low-redshift data we use, while the latter is consistent with this data but requires a non-standard value of the matter density. Overall, our analysis highlights the tight constraints imposed by current data on the allowed low-redshift deviations from the standard $Λ$CDM background evolution.

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