Prospect of detecting magnetic fields from strong-magnetized binary neutron stars

Abstract Binary neutron star mergers are unique sources of gravitational waves in multi-messenger astronomy. The inspiral phase of binary neutron stars can emit gravitational wavesas chirp signals. The present waveform models of gravitational wave only considered thegravitational interaction. In this paper, we derive the waveform of the gravitational wave sig-nal taking into account the presence of magnetic fields. We found that the electromagneticinteraction and radiation can introduce different frequency-dependent power laws for bothamplitude and frequency of the gravitational wave. We show from the results of Fisher infor-mation matrix that the third-generation observation may detect magnetic dipole moments ifthe magnetic field is ∼ 10¹7 G