Journal
PHYSICAL REVIEW D
Volume 99, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.99.123501
Keywords
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Funding
- JSPS KAKENHI [17H01131, 17K05434]
- MEXT KAKENHI Grant [15H05889]
- World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan
- Advanced Leading Graduate Course for Photon Science
- JSPS Research Fellowships for Young Scientists [19J21974]
- Grants-in-Aid for Scientific Research [19J21974] Funding Source: KAKEN
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We study the effect of the nonlinear relation between density and curvature perturbations on the formation of primordial black holes (PBHs). By calculating the variance and skewness of the density perturbation we derive the non-Gaussian property. As a criterion for PBH formation, the compaction function is used and it is found that larger curvature perturbations are required due to the nonlinear effect. We estimate the PBH abundance based on the Press-Schechter formalism with non-Gaussian probability density function during the radiation dominated era. It is found that the nonlinear effect slightly suppresses the PBH formation and the suppression is comparable to that expected if the primordial curvature perturbation would have the local form of non-Gaussianity with nonlinear parameter f(NL) similar to -1.
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