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arXiv 2301.09403astro-ph.COgr-qc
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原初黑洞质量函数作为宇宙起源的探针

Primordial black hole mass functions as a probe of cosmic origin

Yi-Fu Cai, Chengfeng Tang, Geyu Mo, Sheng-Feng Yan, Chao Chen, Xiao-Han Ma, Bo Wang, Wentao Luo, Damien Easson, Antonino Marciano

AI总结:

本文提出利用原初黑洞质量函数作为探测宇宙起源的新窗口,通过Press-Schechter方法结合高红移SMBH观测数据,有效约束了暴胀与反弹宇宙学模型中的PBH密度分数及特征质量。

摘要:

我们讨论了通过原初黑洞(PBHs)的质量函数来探测宇宙起源的新窗口。对于包括暴胀ΛCDM和反弹宇宙学在内的两种宇宙起源范式,我们使用传统的Press-Schechter形式简单估算了PBHs的质量函数。标准的暴胀ΛCDM模型无法生成数量可观的大质量PBHs;然而,在小尺度上具有蓝倾斜功率谱的非平凡暴胀模型和物质反弹宇宙学为重PBHs提供了形成机制,这反过来可能为观测到的超大质量黑洞(SMBHs)提供种子。通过拟合从Sloan Digital Sky Survey (SDSS)和Canada-France High-z Quasar Survey (CFHQS)类星体推导出的高红移($z \sim 6$)SMBH质量函数,针对这两种宇宙起源范式,我们在所有SMBH均源于PBHs的先验假设下,推导出了对$z \sim 6$处PBH密度分数$f_{\mathrm{PBH}}$和特征质量$M_{\star}$的约束。我们证明了这种新提出的方法,依赖于利用高红移SMBH深场巡天的天文测量,可用于约束宇宙起源模型。此外,尽管不是本文的重点,我们还是通过假设$3\times 10^8$年的Eddington吸积,将质量函数从$z\sim6$演化到$z\sim0$,并对$z \sim 0$时的$f_{\mathrm{PBH}}$给出了粗略估计。

英文摘要:

We discuss a novel window to probe the origin of our universe via the mass functions of primordial black holes (PBHs). The mass functions of PBHs are simply estimated using the conventional Press-Schechter formalism for two paradigms of cosmic origin, including inflationary $Λ$CDM and bounce cosmology. The standard inflationary $Λ$CDM model cannot generate an appreciable number of massive PBHs; however, non-trivial inflation models with blue-tilted power spectra at small scales and matter bounce cosmology provide formation mechanisms for heavy PBHs, which in turn, may seed the observed supermassive black holes (SMBHs). By fitting the SMBH mass functions at high redshift ($z \sim 6$) derived from Sloan Digital Sky Survey (SDSS) and Canada-France High-z Quasar Survey (CFHQS) quasars, for two paradigms of cosmic origin, we derive constraints on the PBH density fraction $f_{\mathrm{PBH}}$ at $z \sim 6$ and the characteristic mass $M_{\star}$, with the prior assumption that all SMBHs stem from PBHs. We demonstrate that this newly proposed procedure, relying on astronomical measurements that utilize deep-field surveys of SMBHs at high redshift, can be used to constrain models of cosmic origin. Additionally, although not the main focus of this paper, we evolve the mass function from $z\sim6$ to $z\sim0$ through an assumption of $3\times 10^8$-year Eddington's accretion, and give a rough estimation of $f_{\mathrm{PBH}}$ at $z \sim 0$.

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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