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arXiv 2301.00640astro-ph.COgr-qc
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基于最小假设从第四阶段(stage-IV)巡天联合重构增长与膨胀历史。II. 修正引力与有质量中微子

Joint reconstructions of growth and expansion histories from stage-IV surveys with minimal assumptions. II. Modified gravity and massive neutrinos

Rodrigo Calderón, Benjamin L'Huillier, David Polarski, Arman Shafieloo, Alexei A. Starobinsky

AI总结:

本研究提出基于高斯过程的两步无模型依赖方法,利用第四阶段巡天数据重构修正引力唯象函数,分析有质量中微子影响,指出错误假设ΛCDM膨胀历史会带来重构偏差。

摘要:

基于我们前期工作提出的形式体系,我们以不依赖模型的方式重构描述广义相对论(GR)偏离程度的唯象函数$G_{\rm eff}(z)$。在这一替代方法中,我们将$μ\equiv G_\mathrm{eff}/G$建模为高斯过程,并利用第四阶段巡天的预测增长速率测量结果,针对两种不同的玩具模型重构其形态。我们采用两步流程:(i)首先从超新星(SNe)和重子声学振荡(BAO)测量结果重构背景膨胀历史;(ii)随后利用该历史得到增长历史$fσ_8$,将其与红移空间畸变(RSD)测量结果拟合以重构$G_\mathrm{eff}$。我们发现,若暗能量行为能被精确测定,诸如暗能量光谱仪(DESI)这类即将开展的巡天或许有能力探测到与GR的偏离。对于某些特定模型,我们甚至能够约束从$G\to G_\mathrm{eff}$的转变红移。我们进一步在膨胀历史已知、仅中微子质量可自由变化的假设下,评估了有质量中微子对$G_\mathrm{eff}$(或$μ$)重构的影响。鉴于中微子质量的严格约束,且针对本研究中考虑的分布剖面,我们通过数值计算发现,这类有质量中微子的效应不会改变我们的结论。最后我们强调,错误假设$Λ$CDM膨胀历史会导致$μ$的重构质量下降,和/或在$(Ω_\mathrm{m,0},σ_{8,0})$平面上产生不可忽略的偏差。

英文摘要:

Based on a formalism introduced in our previous work, we reconstruct the phenomenological function $G_{\rm eff}(z)$ describing deviations from General Relativity (GR) in a model-independent manner. In this alternative approach, we model $μ\equiv G_\mathrm{eff}/G$ as a Gaussian process and use forecasted growth-rate measurements from a stage-IV survey to reconstruct its shape for two different toy models. We follow a two-step procedure: (i) we first reconstruct the background expansion history from Supernovae (SNe) and Baryon Acoustic Oscillation (BAO) measurements; (ii) we then use it to obtain the growth history $fσ_8$, that we fit to redshift-space distortions (RSD) measurements to reconstruct $G_\mathrm{eff}$. We find that upcoming surveys such as the Dark Energy Spectroscopic Instrument (DESI) might be capable of detecting deviations from GR, provided the dark energy behavior is accurately determined. We might even be able to constrain the transition redshift from $G\to G_\mathrm{eff}$ for some particular models. We further assess the impact of massive neutrinos on the reconstructions of $G_\mathrm{eff}$ (or $μ$) assuming the expansion history is given, and only the neutrino mass is free to vary. Given the tight constraints on the neutrino mass, and for the profiles we considered in this work, we recover numerically that the effect of such massive neutrinos does not alter our conclusions. Finally, we stress that incorrectly assuming a $Λ$CDM expansion history leads to a degraded reconstruction of $μ$, and/or a non-negligible bias in the ($Ω_\mathrm{m,0}$,$σ_{8,0}$)-plane.

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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