论文标题
对原始重力波诱导的对宇宙大规模结构的贡献的分析研究
An Analytical Study of the Primordial Gravitational-Wave-Induced Contribution to the Large-Scale Structure of the Universe
论文作者
论文摘要
大规模结构（LSS）上重力波（GWS）的烙印是一种有用的检测或限制它们的有前途的方法。张量化石在文献中已被广泛研究，作为检测原始GWS的间接方法。在本文中，我们分析了原始GWS引起的一种新效果：对LSS潜在物质分布的密度对比度及其辐射对应物的密度对比度以及由重力辐射的能量密度波动引起的。我们对在辐射优势期间进入地平线的波的密度对比度的完整分析解执行了我们的派生。我们在辐射时代考虑了两个阶段，具体取决于宇宙扰动能量密度的主要贡献者。通过比较冷暗物质和辐射的密度对比（仅由线性引力波来源），我们得出结论，前者在辐射时代的某个时候克服了后者，这种行为类似于线性对应物。然后，我们通过讨论GWS在物质时代进入哈勃半径的密度扰动的情况以及它们在深色能源占主导地位的阶段的演变。
The imprint of gravitational waves (GWs) on large-scale structures (LSS) is a useful and promising way to detect or to constrain them. Tensor fossils have been largely studied in the literature as an indirect way to detect primordial GWs. In this paper we analyze a new effect induced by primordial GWs: a correction to the density contrast of the underlying matter distribution of LSS, as well as its radiation counterpart, induced by the energy density fluctuation of the gravitational radiation. We perform our derivation of the full analytical solution of the density contrast for waves entering the horizon during radiation dominance. We account for two phases in the radiation era, depending on the main contributor to the perturbed energy density of the Universe. By comparing the density contrast of cold dark matter and radiation -- sourced by linear gravitational waves only -- we conclude that the former overcomes the latter at some time in the radiation era, a behaviour analogous to their linear counterpart. Then we conclude by discussing the case of density perturbations produced by GWs entering the Hubble radius during the matter era as well as their evolution in the late dark-energy dominated phase.
