Primordial black holes and scalar induced density perturbations: the effects of probability density functions
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866917834028744704 |
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| author | Zhou, Jing-Zhi Kuang, Yu-Ting Chang, Zhe Zhang, Xukun Zhu, Qing-Hua |
| author_facet | Zhou, Jing-Zhi Kuang, Yu-Ting Chang, Zhe Zhang, Xukun Zhu, Qing-Hua |
| contents | We investigate the second order energy density perturbation $δ^{(2)}$ induced by small-scale Gaussian and local-type non-Gaussian primordial curvature perturbations. The relative abundance of primordial black hole is calculated in terms of the probability density function of total energy density perturbation $δ_r=δ^{(1)}+\frac{1}{2}δ^{(2)}$. The effects of second order density perturbation greatly reduce the upper bounds of small-scale power spectra of primordial curvature perturbations by one to two orders of magnitude. For log-normal primordial power spectrum, its amplitude $A_ζ$ is constrained to be about $A_ζ\sim 3\times10^{-3}$. And for local-type non-Gaussianity with $f_{\mathrm{NL}}=10$, the upper bound of $A_ζ$ is about $2.5\times10^{-4}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_02067 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Primordial black holes and scalar induced density perturbations: the effects of probability density functions Zhou, Jing-Zhi Kuang, Yu-Ting Chang, Zhe Zhang, Xukun Zhu, Qing-Hua Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology We investigate the second order energy density perturbation $δ^{(2)}$ induced by small-scale Gaussian and local-type non-Gaussian primordial curvature perturbations. The relative abundance of primordial black hole is calculated in terms of the probability density function of total energy density perturbation $δ_r=δ^{(1)}+\frac{1}{2}δ^{(2)}$. The effects of second order density perturbation greatly reduce the upper bounds of small-scale power spectra of primordial curvature perturbations by one to two orders of magnitude. For log-normal primordial power spectrum, its amplitude $A_ζ$ is constrained to be about $A_ζ\sim 3\times10^{-3}$. And for local-type non-Gaussianity with $f_{\mathrm{NL}}=10$, the upper bound of $A_ζ$ is about $2.5\times10^{-4}$. |
| title | Primordial black holes and scalar induced density perturbations: the effects of probability density functions |
| topic | Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2307.02067 |