动力学refractive index的蓝色和紫色引力子谱
Blue and violet graviton spectra from a dynamical refractive index
摘要：
我们发现，残余引力子的光谱能量分布温和地增加的频率小于$μ$ Hz，然后在准德西特阶段的膨胀的张量模式的折射率是动态的，然后消失。对于传统的热历史的高频高原的范围之间的兆赫和音频带，但它是由一个尖峰在GHz区域，如果一个僵硬的后膨胀阶段之前的标准辐射主导的时代。即使在中频时斜率为蓝色，在MHz窗口中也可能变为紫色。对于各种后暴胀的历史，包括传统的，一个动力学折射率导致潜在的可检测的频谱能量密度在kHz和兆赫地区，而所有相关的唯象约束同时得到满足。
英文摘要：
We show that the spectral energy distribution of relic gravitons mildly increases for frequencies smaller than the $μ$Hz and then flattens out whenever the refractive index of the tensor modes is dynamical during a quasi-de Sitter stage of expansion. For a conventional thermal history the high-frequency plateau ranges between the mHz and the audio band but it is supplemented by a spike in the GHz region if a stiff post-inflationary phase precedes the standard radiation-dominated epoch. Even though the slope is blue at intermediate frequencies, it may become violet in the MHz window. For a variety of post-inflationary histories, including the conventional one, a dynamical index of refraction leads to a potentially detectable spectral energy density in the kHz and in the mHz regions while all the relevant phenomenological constraints are concurrently satisfied.
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