Gravitational Waves and Electromagnetic Radiation from Charged Black Hole Binaries

Abstract

In this manuscript, we investigate the electromagnetic radiation of a binary system of electrically charged black holes. Using the results of previous works, we compute the analytical expression for the waveform, the phase, and the Fourier transform during the inspiral phase for both the electromagnetic and gravitational radiations. To do so, we consider the quasi-circular approximation and small values for the charge-to-mass ratio in each black hole. In the case of electromagnetic radiation, we focus on the dipole contribution, but we also include the quadrupole term to complete our discussion. We found that the gravitational and electromagnetic waveforms contain two terms, and so does the Fourier transform. However, the behavior is dominated only by one of them. In the frequency-domain waves, for example, the dipole and quadrupole contributions and the gravitational wave are dominated by terms proportional to f−3/6, f−1/6 and f−7/6, respectively. As expected, the gravitational radiation and the quadrupole contribution have the same phase, in contrast to the dipole contribution. Moreover, the electromagnetic wave is more sensitive to changes in the charge-to-mass ratio than the gravitational wave.

Conservative scattering of Reissner-Nordström black holes at third post-Minkowskian order

“…For obvious phenomenological reasons the binary dynamics of charged black holes have been studied much less than Schwarzschild or Kerr, however there has been considerable progress from multiple directions. For general values of the charge, leading radiation effects on Newtonian orbits and relativistic test-bodies have been studied [102,103], as well as their accompanying waveforms [104]. Both conservative and dissipative dynamics, as well as quantum corrections, have been computed at 1PN order [105][106][107][108][109][110], with conservative dynamics computed further to 2PN order [111].…”