arXiv 1505.047892015-05-18hep-phastro-ph.CO

物质与暗物质引力相互作用的宇宙学约束

Cosmological Constraints on the Gravitational Interactions of Matter and Dark Matter

Yang Bai, Jordi Salvado, Ben A. Stefanek

DOI：: 10.1088/1475-7516/2015/10/029

摘要：

虽然有压倒性的证据表明，暗物质的引力相互作用，我们仍然不知道它的精确引力相互作用强度或它是否遵守等效原理。使用最新的宇宙学数据和$Λ\mbox{CDM}$的框架内工作，我们首先更新所有物质的牛顿常数的测量值：$G_N=7.26^{+0.27}_{-0.27}\times 10^{-11}\,\mbox{m}^{3}\mbox{kg}^{-1}\mbox{s}^{-2}$，它与标准实验室值相差$2.2 σ$。在广义相对论中，暗物质等效原理的破缺可以通过超轻标量场介导的长程暗物质力来模拟。利用普朗克三年的观测数据，我们发现暗物质的“第五力”强度被限制为弱于引力的$10^{-4}$。我们还介绍了一个唯象的，后牛顿双流体的描述，明确打破等效原理，通过引入暗物质的惯性和引力质量之间的差异。根据暗物质和普通物质流体的退耦时间，暗物质的引力质量与惯性质量之比在$10^{-6}$水平上被限制为1。

英文摘要：

Although there is overwhelming evidence of dark matter from its gravitational interaction, we still do not know its precise gravitational interaction strength or whether it obeys the equivalence principle. Using the latest available cosmological data and working within the framework of $Λ\mbox{CDM}$, we first update the measurement of the Newton's constant for all matter: $G_N=7.26^{+0.27}_{-0.27}\times 10^{-11}\,\mbox{m}^{3}\mbox{kg}^{-1}\mbox{s}^{-2}$, which differs by $2.2 σ$ from the standard laboratory-based value. In general relativity, dark matter equivalence principle breaking can be mimicked by a long-range dark matter force mediated by an ultra light scalar field. Using the Planck three year data, we find that the dark matter "fifth-force" strength is constrained to be weaker than $10^{-4}$ of the gravitational force. We also introduce a phenomenological, post-Newtonian two-fluid description to explicitly break the equivalence principle by introducing a difference between dark matter inertial and gravitational masses. Depending on the decoupling time of the dark matter and ordinary matter fluids, the ratio of the dark matter gravitational mass to inertial mass is constrained to be unity at the $10^{-6}$ level.

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