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arXiv 1205.4012astro-ph.CO
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暗物质原初黑洞与暴胀模型

Dark Matter Primordial Black Holes and Inflation Models

Manuel Drees, Encieh Erfani

摘要:

根据最近所有相关的宇宙学数据,分析了各种各样的暴胀单场模型,检查它们是否可以导致形成长寿的原始黑洞(PBH)作为暗物质的候选者。为此,我们计算原始扰动的功率谱的谱指数以及它的一阶和二阶导数。只有当光谱指数$n_S(k_0)$在小尺度上显著增加时,PBH才可能形成。由于目前的数据表明,光谱指数的一阶导数$α_S$在枢轴标度上是负的,PBH的形成只有在存在相当大的正二阶导数(“运行的运行”)$β_S$的情况下才是可能的。在我们分析的三个小场和五个大场模型中,只有“运行质量”模型允许PBH形成,参数范围很窄。

英文摘要:

A broad range of single field models of inflation are analyzed in light of all relevant recent cosmological data, checking whether they can lead to the formation of long--lived Primordial Black Holes (PBHs) as candidate for dark matter. To that end we calculate the spectral index of the power spectrum of primordial perturbations as well as its first and second derivatives. PBH formation is possible only if the spectral index $n_S(k_0)$ increases significantly at small scales. Since current data indicate that the first derivative $α_S$ of the spectral index is negative at the pivot scale, PBH formation is only possible in the presence of a sizable and positive second derivative ("running of the running") $β_S$. Among the three small-field and five large-field models we analyze, only the "running-mass" model allows PBH formation, for a narrow range of parameters.

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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