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Inspiraling and merging binary neutron stars (BNSs) are important sources ofboth gravitational waves and coincident electromagnetic counterparts. If theBNS total mass is larger than a threshold value, a black hole ensues promptlyafter merger. Through a statistical study in conjunction with recent LIGO/Virgoconstraints on the nuclear equation of state, we estimate that up to $\sim25\%$ of BNS mergers may result in prompt collapse. Moreover, we find that mostmodels of the BNS mass function we study here predict that the majority ofprompt-collapse BNS mergers have $q\gtrsim 0.8$. Prompt-collapse BNS mergerswith mass ratio $q \gtrsim 0.8$ may not be accompanied by detectable kilonovaeor short gamma-ray bursts, because they unbind a negligible amount of mass andform negligibly small accretion disks onto the remnant black hole. We call suchBNS mergers "orphan". However, recent studies have found that${10^{41-43}(B_p/10^{12}\rm G)^2 erg\, s^{-1}}$ electromagnetic signals can bepowered by magnetospheric interactions several milliseconds prior to merger.Moreover, the energy stored in the magnetosphere of an orphan BNS mergerremnant will be radiated away in ${\mathcal O}(1\ \rm ms)$. Through simulationsin full general relativity of BNSs endowed with an initial dipolemagnetosphere, we find that the energy in the magnetosphere following blackhole formation is $E_B \sim 10^{39-41} (B_p/10^{12}\rm G)^2$ erg. Radiating$\sim 1\%$ of $E_B$ in 1 ms, as has been found in previous studies, matches thepremerger magnetospheric luminosity. These magnetospheric signals are notbeamed, and their duration and power agrees with those of non-repeating fastradio bursts (FRBs). These results combined with our statistical study suggestthat a non-repeating FRB may be the most likely electromagnetic counterpart ofprompt-collapse BNSs.

Are fast radio bursts the most likely electromagnetic counterpart of neutron star mergers resulting in prompt collapse?