https://doi.org/10.1140/epjc/s10052-019-7227-0
Regular Article - Theoretical Physics
Effects of the merger history on the merger rate density of primordial black hole binaries
1
CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China
2
School of Physical Sciences, University of Chinese Academy of Sciences, No. 19A Yuquan Road, Beijing, 100049, China
* e-mail: liulang@itp.ac.cn
Received:
30
May
2019
Accepted:
18
August
2019
Published online:
27
August
2019
We develop a formalism to calculate the merger rate density of primordial black hole binaries with a general mass function, by taking into account the merger history of primordial black holes. We apply the formalism to three specific mass functions: the monochromatic, power-law and log-normal cases. In the former case, the merger rate density is dominated by the single-merger events, while in the latter two cases, the contribution of the multiple-merger events on the merger rate density cannot be ignored. The effects of the merger history on the merger rate density depend on the mass function.
© The Author(s), 2019
