{ "id": "2408.02534", "version": "v1", "published": "2024-08-05T15:04:08.000Z", "updated": "2024-08-05T15:04:08.000Z", "title": "Quantifying the coincidence between gravitational waves and fast radio bursts from neutron star--black hole mergers", "authors": [ "Teagan A. Clarke", "Nikhil Sarin", "Eric J. Howell", "Paul D. Lasky", "Eric Thrane" ], "comment": "15 pages, 7 figures, 2 tables", "categories": [ "astro-ph.HE", "gr-qc" ], "abstract": "Fast radio bursts (FRBs) are mysterious astrophysical transients whose origin and mechanism remain unclear. Compact object mergers may be a promising channel to produce some FRBs. Neutron star-black hole (NSBH) mergers could produce FRBs through mechanisms involving neutron star tidal disruption or magnetospheric disturbances. This could present an opportunity for multi-messenger gravitational-wave observations, providing new insight into the nature of FRBs and nuclear matter. However, some of the gravitational-wave signals may be marginal detections with signal-to-noise ratios < 8 or have large sky location and distance uncertainties, making it less straightforward to confidently associate an FRB with the gravitational-wave signal. One must therefore take care to avoid a false positive association. We demonstrate how to do this with simulated data. We calculate the posterior odds -- a measurement of our relative belief for a common versus unrelated origin of a coincident NSBH and FRB. We find that a coincident FRB+NSBH from a common source can yield a statistically significant posterior odds in a network with at least two observatories, but only if we require a coincidence in time and and sky location, rather than time alone. However, we find that for our model, we require a network signal-to-noise ratio greater than 10 to be confident in the common-source detection, when using a threshold of ln odds > 8. We suggest that a coincident NSBH+FRB detection could help distinguish between FRB engines by discriminating between disrupting and non-disrupting models.", "revisions": [ { "version": "v1", "updated": "2024-08-05T15:04:08.000Z" } ], "analyses": { "keywords": [ "neutron star-black hole mergers", "fast radio bursts", "gravitational waves", "coincidence", "neutron star tidal disruption" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }