Astronomy and Astrophysics – Astrophysics
Scientific paper
1998-07-02
Phys.Rev. D58 (1998) 063003
Astronomy and Astrophysics
Astrophysics
Revtex, 25 pages, 10 figures, to appear in PRD
Scientific paper
10.1103/PhysRevD.58.063003
We study black hole MACHO binary formation through three-body interactions in the early universe at $t\sim 10^{-5}$s. The probability distribution functions of the eccentricity and the semimajor axis of binaries as well as of the coalescence time are obtained assuming that the black holes are randomly formed in space. We confirm that the previous order-of-magnitude estimate for the binary parameters is valid within $\sim 50%$ error. We find that the coalescence rate of the black hole MACHO binaries is $\sim 5 \times 10^{-2} \times 2^{\pm 1}$ events/year/galaxy taking into consideration several possible factors which may affect this estimate. This suggests that the event rate of coalescing binary black holes will be at least several events per year within 15 Mpc. The first LIGO/VIRGO interferometers in 2001 will be able to verify whether the MACHOs are black holes or not.
Chiba Takeshi
Ioka Kunihito
Nakamura Takashi
Tanaka Takahiro
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