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arXiv · 2001.02984

Merger rate distribution of primordial black hole binaries with electric charges

Lang Liu·Zong-Kuan Guo·Rong-Gen Cai·Sang Pyo Kim
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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 $\alpha=-(m_i+m_j)^2\partial^2 \ln {\cal R}(m_i,m_j)/\partial m_i \partial m_j=12/11$, which is independent of the mass function.

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Lang Liu, Zong-Kuan Guo, Rong-Gen Cai, Sang Pyo Kim. 2020-01-09. Merger rate distribution of primordial black hole binaries with electric charges. https://doi.org/10.1103/physrevd.102.043508

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