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Fast radio bursts (FRBs) are an emerging class of short and bright radiotransients whose sources remain enigmatic. Within the galactic center, thenon-detection of pulsars within the inner $\sim \!10\,{\rm pc}$ has created amissing pulsar problem that has intensified with time. With all reserve, weadvance the notion that the two problems could be linked by a common solution:the collapse of neutron stars (NS) due to capture and sedimentation of darkmatter (DM) within their cores. Bramante \& Linden (2014), Phys.\ Rev.\Lett.~19, 191301 showed that certain DM properties allow for rapid NS collapsewithin the high DM density environments near galactic centers while permittingNS survival elsewhere. Each DM-induced collapse could generate an FRB as the NSmagnetosphere is suddenly expelled. This scenario could explain severalfeatures of FRBs: their short time scales, large energies, locally producedscattering tails, and high event rates. We predict that FRBs are localized togalactic centers, and that our own galactic center harbors a large populationof NS-mass ($M\sim1.4 M_\odot$) black holes. The DM-induced collapse scenariois intrinsically unlikely because it can only occur in a small region ofallowable DM parameter space. However, if observed to occur, it would placetight constraints on DM properties.

Dark Matter-induced Collapse of Neutron Stars: A Possible Link Between Fast Radio Bursts and the Missing Pulsar Problem