Abstract
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.
- Received 2 July 2019
- Corrected 6 March 2020
DOI:https://doi.org/10.1103/PhysRevD.100.063520
© 2019 American Physical Society
Physics Subject Headings (PhySH)
Corrections
6 March 2020
Correction: In Ref. [36], errors appeared in the author name and the arXiv identifier, and they have been fixed.