Astrophysical models of binary-black hole mergers in the universe require a significant fraction of stellar-mass black holes (BHs) to receive negligible natal kicks to explain the gravitational wave detections. This implies that BHs should be retained even in open clusters with low escape velocities (≲1 km s−1). We search for signatures of the presence of BHs in the nearest open cluster to the Sun – the Hyades – by comparing density profiles of direct N-body models to data from Gaia. The observations are best reproduced by models with 2–3 BHs at present. Models that never possessed BHs have an half-mass radius $\sim 30~{{\ \rm per\ cent}}smallerthantheobservedvalue,whilethosewherethelastBHswereejectedrecently(≲150Myrago)canstillreproducethedensityprofile.In50percentofthemodelshostingBHs,wefindBHswithstellarcompanion(s).Theirperioddistributionpeaksat∼103yr,makingthemunlikelytobefoundthroughvelocityvariations.WelookforpotentialBHcompanionsthroughlargeGaiaastrometricandspectroscopicerrors,identifying56binarycandidates–noneofwhichisconsistentwithamassivecompactcompanion.Modelswith2–3BHshaveanelevatedcentralvelocitydispersion,butobservationscannotyetdiscriminate.Weconcludethatthepresent−daystructureoftheHyadesrequiresasignificantfractionofBHstoreceivenatalkickssmallerthantheescapevelocityof\sim 3 \, \mathrm{km \, s^{-1}}$ at the time of BH formation and that the nearest BHs to the Sun are in, or near, Hyades.
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