The evolution of a primordial binary black hole due to interaction with cold dark matter and the formation rate of gravitational wave events

Understand

In this Paper we consider a problem of formation and evolution of orbital parameters of a binary primordial black hole (PBH) due to gravitational interaction with clustering cold dark matter (CDM).

• Mass and initial separation have values, which are appropriate for the problem of explanation of the LIGO/Virgo events by coalescing binary PBHs.
• We consider both radiation dominated and CDM dominated stages of the evolution using numerical and semi-analytical means.
• We show that at the end time of our numerical simulations binary's semimajor axis decreases by approximately one hundred times, while its angular momentum decreases by ten times, in comparison to the standard values, which do not take into account effects associated with CDM clustering.