与尺度无关的能量-动量平方引力的宇宙学意义：暗物质和相对论遗迹中的伪非最小相互作用
Cosmological implications of scale-independent energy-momentum squared gravity: Pseudo nonminimal interactions in dark matter and relativistic relics
摘要：
在本文中，我们介绍了一个尺度无关的能量动量平方引力（EMSG），允许不同类型的源，这可能会导致许多有趣的应用程序/宇宙学的影响的情况下，不同的引力耦合。在本研究中，首先，我们研究了$Λ$冷暗物质（$Λ$ CDM）模型的修改，其中光子和重子耦合到广义相对论中的时空，而冷暗物质和相对论遗迹（中微子和任何其他相对论遗迹）耦合到符合EMSG的时空。这种情况下诱导伪非最小的这些组件上的相互作用，导致修改的背景和微扰水平。这种情况的一个后果是，理论的无量纲自由参数可能会导致相对论性物质的有效数的直接变化，而不需要引入新的额外物质。为了量化宇宙学场景的观测结果，我们使用了宇宙微波背景普朗克数据（温度，偏振和透镜功率谱）和重子声振荡数据。我们发现，自由模型参数太小，导致统计上显着的修正$Λ$ CDM模型由于EMSG。我们推断，这里提出的模型是相当丰富的有前途的宇宙学应用/影响，值得进一步研究。
英文摘要：
In this paper, we introduce a scale-independent energy-momentum squared gravity (EMSG) that allows different gravitational couplings for different types of sources, which may lead to scenarios with many interesting applications/implications in cosmology. In the present study, to begin with, we study a modification of the $Λ$ cold dark matter ($Λ$CDM) model, where photons and baryons couple to the spacetime as in general relativity, while the cold dark matter and relativistic relics (neutrinos and any other relativistic relics) couple to the spacetime in accordance with EMSG. This scenario induces pseudo nonminimal interactions on these components, leading to modification at both the background and perturbative levels. A consequence of this scenario is that the dimensionless free parameter of the theory may induce direct changes on the effective number of the relativistic species, without the need to introduce new extra species. In order to quantify the observational consequences of the cosmological scenario, we use the cosmic microwave background Planck data (temperature, polarization, and lensing power spectrum) and baryonic acoustic oscillations data. We find that the free model parameter is too small to induce statistically significant corrections on the $Λ$CDM model due to EMSG. We deduce that the model presented here is quite rich with promising cosmological applications/implications that deserve further investigations.
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