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$f(R)$引力与HI 21厘米强度成图巡天的预测

Forecast on $f(R)$ Gravity with HI 21cm Intensity Mapping Surveys

Yangzhou University(扬州大学);Sejong University(世宗大学);Shanghai Jiao Tong University(上海交通大学)

Yanling Song, Yu Sang, Linfeng Xiao, Bin Wang

AI总结:

利用Fisher矩阵预测未来中性氢21厘米强度成图实验(BINGO和SKA1-MID)对$f(R)$引力中康普顿波长参数$B_0$的约束能力,发现结合CMB数据可显著提升约束精度。

摘要:

修正引力理论为广义相对论提供了动机良好的扩展,并为宇宙晚期加速膨胀提供了可能的解释。其中,$f(R)$引力代表了一类最小且理论上吸引人的类别,其特征由康普顿波长参数$B_0$量化,该参数衡量与广义相对论的偏差。在这项工作中,我们探索了未来中性氢(HI)21厘米强度成图(IM)观测在低红移下约束$f(R)$引力的能力。我们使用即将到来的21厘米IM实验(包括BINGO和SKA1-MID(波段1和波段2)),单独以及与普朗克宇宙微波背景(CMB)先验结合,对$B_0$和标准宇宙学参数进行了Fisher矩阵预测。我们发现,即使是像BINGO这样的近期实验也能对$B_0$施加非平凡的限制,$σ(B_0)\simeq 2.27 imes 10^{-6}$,而SKA1-MID则提供了更严格的约束,其中SKA波段2在所考虑的配置中提供了最强的灵敏度,$σ(B_0)\simeq 6.37 imes 10^{-8}$。我们进一步证明,低红移21厘米IM数据与CMB观测的结合有效地打破了与背景宇宙学参数的简并,并导致对$B_0$约束的显著改善。这些结果凸显了未来HI强度成图巡天与CMB测量相结合,在宇宙学尺度上对广义相对论进行严格测试的潜力。

英文摘要:

Modified gravity theories offer a well-motivated extension of General Relativity and provide a possible explanation for the late-time accelerated expansion of the Universe. Among them, $f(R)$ gravity represents a minimal and theoretically appealing class, characterized by the Compton wavelength parameter $B_0$, which quantifies deviations from General Relativity. In this work, we explore the capability of future neutral hydrogen (HI) 21-cm intensity mapping (IM) observations to constrain $f(R)$ gravity at low redshifts. We perform Fisher-matrix forecasts for $B_0$ and standard cosmological parameters using upcoming 21-cm IM experiments, including BINGO and SKA1-MID (Band 1 and Band 2), both individually and in combination with Planck cosmic microwave background (CMB) priors. For the phenomenological HI treatment, we obtain $σ(B_0)=3.73\times10^{-6}$, $5.98\times10^{-6}$, and $6.78\times10^{-8}$ for BINGO, SKA1-MID Band 1, and Band 2, respectively, and the tightest bound is improved to $3.95\times10^{-8}$ when Planck priors are included. We further consider a redshift-dependent HI model with fixed $Ω_{\rm HI}(z)$ and $b_{\rm HI}(z)$, and find that the constraints remain of similar order, confirming the robustness of the results. In both cases, SKA1-MID Band 2 provides the strongest sensitivity, while foreground residuals degrade the constraints but do not change the main conclusion that future HI intensity mapping, especially combined with CMB data, can provide stringent tests of General Relativity on cosmological scales.

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