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arXiv 2201.05846astro-ph.COgr-qchep-th
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用低z星系巡天数据约束$G_{\rm eff}$的晚期跃迁

Constraining a late time transition of $G_{\rm eff}$ using low-z galaxy survey data

G. Alestas, L. Perivolaropoulos, K. Tanidis

备注：
9 pages, 8 figures. Version published in Physical Review D. Slightly modified the abstract, added further discussion regarding the analysis and references. The numerical analysis files that lead to the production of the figures may be downloaded from https://github.com/GeorgeAlestas/G_Constraints
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摘要：

最近有人指出，在最近的红移$z_t$上发生的引力跃迁，使$z>z_t$的有效引力常数$G_{\rm eff}$减少了约$10\%$，如果$z_t\lesssim 0.01$，则有可能导致哈勃张力的解决。自$H(z)^2\sim G_{\rm eff}$以来，这样的转变也会导致$z=z_t$的哈勃图的斜率急剧变化，以及$z_t$的每个红移仓的星系数量急剧减少。在这里，我们试图施加限制，这样的过渡，使用两个强大的低z红移调查数据集（$z<0.01$），从六度场星系巡天（6dFGS）以及2MASS红移调查（2MRS）。在这两次调查中，我们把数据分在红移箱中，并关注每个箱中的星系数量（$ΔN(z_i)$）。我们观察到一个峰值附近的距离约为20兆秒差距的星系分布在这两个数据集。这一特征可以归因于星系密度涨落、星系的相干奇异速度或同一时代的超晚期引力跃迁。在后一种情况下，我们表明，这种功能可能是由$ΔG_{\rm eff}/G_{\rm eff} \simeq 0.6$在$z_t\simeq 0.005$的$G_{\rm eff}$急剧变化引起的。因此，在一个保守的方法，这种方法可以用来施加约束的可能突然变化的引力常数发生在非常低的红移。

英文摘要：

It has recently been pointed out that a gravitational transition taking place at a recent redshift $z_t$, reducing the effective gravitational constant $G_{\rm eff}$ by about $10\%$ for $z>z_t$, has the potential to lead to a resolution of the Hubble tension if $z_t\lesssim 0.01$. Since $H(z)^2\sim G_{\rm eff}$, such a transition would also lead to sharp change of the slope of the Hubble diagram at $z=z_t$ and a sharp decrease in the number of galaxies per redshift bin at $z_t$. Here we attempt to impose constraints on such a transition by using two robust low-z redshift survey datasets ($z<0.01$), taken from the Six-degree Field Galaxy Survey (6dFGS) as well as the 2MASS Redshift Survey (2MRS). In both surveys, we bin the data in redshift bins and focus on the number of galaxies in each bin ($ΔN(z_i)$). We observe a peak in the distribution of galaxies near a distance of approximately 20 Mpc in both datasets. This feature could be attributed to galactic density fluctuations, to coherent peculiar velocities of galaxies or to an ultra late-time gravitational transition in the same era. In the context of the later scenario we show that this feature could have been induced by a sharp change of $G_{\rm eff}$ by $ΔG_{\rm eff}/G_{\rm eff} \simeq 0.6$ at $z_t\simeq 0.005$. Thus, in a conservative approach, this method can be used to impose constraints on a possible abrupt change of the gravitational constant taking place at very low redshifts.

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