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arXiv 2302.06153astro-ph.COgr-qchep-th
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暴胀过程中原初黑洞产生标量扰动的功率谱拟合

Fitting power spectrum of scalar perturbations for primordial black hole production during inflation

Daniel Frolovsky, Sergei V. Ketov

摘要:

为了描述早期宇宙中暴胀子的缓慢滚动和原始黑洞的形成,在单场模型的框架下,我们提出了暴胀过程中标量(曲率)扰动功率谱的一个简单解析拟合.我们的拟合是由慢滚近似下的功率谱和对数正态(高斯)拟合给出的,慢滚近似下的功率谱是与普朗克/BICEP/Keck测量一致的宇宙微波背景辐射的可行描述所需的,对数正态(高斯)拟合是有效产生原始黑洞所需的功率谱增强(峰值)。我们使用T型$α$吸引子模型来描述慢卷膨胀。要求峰值的位置和高度产生的质量的原始黑洞在小行星大小的窗口允许整个(当前)的暗物质组成的原始黑洞,我们发现的限制,其余的参数,最值得注意的是,对峰的宽度。

英文摘要:

We propose a simple analytic fit for the power spectrum of scalar (curvature) perturbations during inflation, in order to describe slow roll of inflaton and formation of primordial black holes in the early universe, in the framework of single-field models. Our fit is given by a sum of the power spectrum in the slow-roll approximation, needed for a viable description of the cosmic microwave background radiation in agreement with Planck/BICEP/Keck measurements, and the log-normal (Gaussian) fit for the power spectrum enhancement (peak) needed for efficient production of primordial black holes. We use the T-type $α$-attractor models in order to describe slow-roll inflation. Demanding the location and height of the peak to yield the masses of primordial black holes in the asteroid-size window allowed for the whole (current) dark matter to be composed of the primordial black holes, we find the restrictions on the remaining parameters and, most notably, on the width of the peak.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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