Analytic multi-messenger signals from magnetized compact binary mergers

The simultaneous detection of both gravitational waves (GWs) and a short-duration gamma-ray burst (GRB) coined as GW170817/GRB 170817A, started the new field of Multi-Messenger Gravitational Wave Astronomy. Although magnetized compact binary mergers are widely accepted as sources of GRBs, the mechanism behind jet formation is still unsettled. We report on a novel implementation of fully analytical GW templates and electromagnetic (EM) radiation amplification during the merger of binary black holes (BBH) and binary neutron stars (BNS) using Python within the Jupyter Notebook. We start with a BBH system and calculate the GWs using the post-Newtonian (PN) formalism for the inspiral evolution and the Backwards-one-Body (BoB) model for the merger. We overlap the signal at the light ring (LR) and test our hybrid waveform against numerical relativity (NR) simulations. We add the magnetic field and investigate the EM amplification by calculating the evolution of the Poynting luminosity during merger. We introduce next tidal effects to account for the coupling between matter and spacetime, present during the merger of a BNS system, and compare again our GW template with NR predictions. Lastly, we repeat the Poynting luminosity calculation, to analyze how the addition of matter changes the magnetic field amplification driven by the highly dynamical, strong gravitational field during the merger. Our results are relevant for the characterization of compact binary mergers accompanied by EM counterparts.