{ "id": "2201.03594", "version": "v1", "published": "2022-01-10T19:03:03.000Z", "updated": "2022-01-10T19:03:03.000Z", "title": "Characterizing the breakdown of quasi-universality in the post-merger gravitational waves from binary neutron star mergers", "authors": [ "Carolyn A. Raithel", "Elias R. Most" ], "comment": "8 pages, 3 figures. Equal contribution", "categories": [ "astro-ph.HE", "gr-qc" ], "abstract": "The post-merger gravitational wave (GW) emission from a binary neutron star merger is expected to provide exciting new constraints on the dense-matter equation of state (EoS). Such constraints rely, by and large, on the existence of quasi-universal relations, which relate the peak frequencies of the post-merger GW spectrum to properties of the neutron star structure in a model-independent way. In this work, we report on violations of existing quasi-universal relations between the peak spectral frequency, f_2, and the stellar radius, for EoSs models with backwards-bending slopes in their mass-radius relations (such that the radius increases at high masses). The violations are extreme, with variations in f_2 of up to ~600 Hz between EoSs that predict the same radius for a 1.4 M_sun neutron star, but that have significantly different radii at higher masses. Quasi-universality can be restored by adding in a second parameter to the fitting formulae that depends on the slope of the mass-radius curve. We further find strong evidence that quasi-universality is never broken for the radii of very massive stars (with masses 2 M_sun). Both statements imply that f_2 is mainly sensitive to the high-density EoS. Combined with observations of the binary neutron star inspiral, these generalized quasi-universal relations can be used to simultaneously infer the characteristic radius and slope of the neutron star mass-radius relation.", "revisions": [ { "version": "v1", "updated": "2022-01-10T19:03:03.000Z" } ], "analyses": { "keywords": [ "binary neutron star merger", "post-merger gravitational wave", "quasi-universality", "quasi-universal relations", "neutron star mass-radius relation" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }