Journal
PHYSICAL REVIEW D
Volume 100, Issue 6, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.100.063520
Keywords
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Funding
- Global Science Graduate Course (GSGC) program of the University of Tokyo
- JSPS
- JSPS [15K17632]
- MEXT [15H05888, 17H06359, 18H04338, 19K03864]
- Grants-in-Aid for Scientific Research [15K17632, 19K03864, 18H04338] Funding Source: KAKEN
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Within the framework that primordial black holes are formed by the direct gravitational collapse of large primordial density perturbations in the radiation-dominated stage, we derive the threshold of the density contrast for the formation of rotating primordial black holes based on the simple Jeans criterion. It is found that the threshold value increases in proportion to the square of the angular momentum. We then apply the recently refined analysis on the formation threshold for nonrotating black holes to the case of rotating black holes and contrast the derived threshold with the former. Caveats and effects ignored in our analysis are also presented, which suggest that the uncertainties of our result can be addressed only by means of numerical relativity.
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