Constrains on the electric charges of the binary black holes with GWTC-1
  events
  Testing black hole's charged property is a fascinating topic in modified
gravity and black hole astrophysics. In the first Gravitational-Wave Transient
Catalog (GWTC-1), ten binary black hole merger events have been formally
reported, and these gravitational wave signals have significantly enhanced our
understanding of the black hole. In this paper, we try to constrain the amount
of electric charge with the parameterized post-Einsteinian framework by
treating the electric charge as a small perturbation in a Bayesian way. We find
that the current limits in our work are consistent with the result of Fisher
information matrix method in previous works. We also develop a waveform model
considering a leading order charge effect for binary black hole inspiral.
