论文标题

放弃暗物质的价格是多少?对替代重力理论​​的宇宙学限制

What is the price of abandoning dark matter? Cosmological constraints on alternative gravity theories

论文作者

Pardo, Kris, Spergel, David N.

论文摘要

任何消除对暗物质需求的成功替代性重力理论都必须符合我们的宇宙学观察。微波背景极化的测量值痕迹在重组时大规模的重子速度场,并显示出非常强的$ O(1)$,BARYON声学振荡。低红移处星系的大规模结构的测量显示在光谱中的特征较弱。如果替代性重力理论的结构生长速率是线性的,则可以通过绿色的函数来描述密度场的生长:$δ(\ vec x,t)=δ(\ vec x,t')g(x,x,x,t,t,t')$。我们表明,绿色功能$ g(x,t,t')$必须具有巨大的功能来消除初始的巴属振荡。这意味着一项加速法改变了$ \ sim 150 $ MPC量表的符号。另一方面,如果替代性重力理论具有较大的非线性术语,该术语伴侣模式在不同的尺度上,那么该理论将预测大规模结构中的大规模非高斯特征。这些在星系的分布或类星体的分布中没有看到。暗物质的替代性重力理论似乎都无法满足这些约束。

Any successful alternative gravity theory that obviates the need for dark matter must fit our cosmological observations. Measurements of microwave background polarization trace the large-scale baryon velocity field at recombination and show very strong, $O(1)$, baryon acoustic oscillations. Measurements of the large-scale structure of galaxies at low redshift show much weaker features in the spectrum. If the alternative gravity theory's dynamical equations for the growth rate of structure are linear, then the density field growth can be described by a Green's function: $δ(\vec x,t) = δ(\vec x,t')G(x,t,t')$. We show that the Green function, $G(x,t,t')$, must have dramatic features that erase the initial baryon oscillations. This implies an acceleration law that changes sign on the $\sim 150$ Mpc scale. On the other hand, if the alternative gravity theory has a large nonlinear term that couples modes on different scales, then the theory would predict large-scale non-Gaussian features in large-scale structure. These are not seen in the distribution of galaxies nor in the distribution of quasars. No proposed alternative gravity theory for dark matter seems to satisfy these constraints.

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