Merger rate distribution of primordial black hole binaries with electric charges

Abstract

We consider gravitational radiation and electromagnetic radiation from point mass binary with electric charges in a Keplerian orbit, and calculate the merger rate distribution of primordial black hole binaries with charges and a general mass function by taking into account gravitational torque and electromagnetic torque by the nearest primordial black hole. We apply the formalism to the extremal charged case and find that $\ensuremath{\alpha}=\ensuremath{-}({m}_{i}+{m}_{j}{)}^{2}{\ensuremath{\partial}}^{2}\mathrm{ln}\mathcal{R}({m}_{i},{m}_{j})/\ensuremath{\partial}{m}_{i}\ensuremath{\partial}{m}_{j}=12/11$, which is independent of the mass function.

Topics & Concepts