A General-relativistic Determination of the Threshold Mass to Prompt Collapse in Binary Neutron Star Mergers

Abstract

We study the lifetimes of the remnant produced by the merger of two neutron stars and revisit the determination of the threshold mass to prompt collapse, $M_{\mathrm{th}}$. Using a fully general-relativistic numerical approach and a novel method for a rigorous determination of $M_{\mathrm{th}}$, we show that a nonlinear universal relation exists between the threshold mass and the maximum compactness. For the temperature-dependent equations of state considered here, our results improve a similar linear relation found recently with methods that are less accurate but yield quantitatively similar results. Furthermore, exploiting the information from GW170817, we use the universal relation to set lower limits on the stellar radii for any mass.

6 pages, 4 figures, published on ApJL

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• Kilonovae
• The Dynamics of Binary Neutron Star Mergers and of GW170817
• A lower bound on the maximum mass if the secondary in GW190814 was once a rapidly spinning neutron star
• When Did the Remnant of GW170817 Collapse to a Black Hole?
• Implications of the search for optical counterparts during the first six months of the Advanced LIGO's and Advanced Virgo's third observing run: possible limits on the ejecta mass and binary properties
• Hybrid equation of state approach in binary neutron-star merger simulations
• Implications of the search for optical counterparts during the second part of the Advanced LIGO's and Advanced Virgo's third observing run: lessons learned for future follow-up observations
• Constructing Binary Neutron Star Initial Data with High Spins, High Compactness, and High Mass-Ratios
• Role of the symmetry energy and the neutron-matter stiffness on the tidal deformability of a neutron star with unified equations of state
• Empirical constraints on the high-density equation of state from multi-messenger observables
• Binary neutron star merger simulations with hot microscopic equations of state
• Equation of state constraints from multi-messenger observations of neutron star mergers
• GW170817 and GW190814: tension on the maximum mass