We present models of realistic globular clusters with post-Newtonian dynamicsfor black holes. By modeling the relativistic accelerations andgravitational-wave emission in isolated binaries and during three- andfour-body encounters, we find that nearly half of all binary black hole mergersoccur inside the cluster, with about 10% of those mergers entering theLIGO/Virgo band with eccentricities greater than 0.1. In-cluster mergers leadto the birth of a second generation of black holes with larger masses and highspins, which, depending on the black hole natal spins, can sometimes beretained in the cluster and merge again. As a result, globular clusters canproduce merging binaries with detectable spins regardless of the birth spins ofblack holes formed from massive stars. These second-generation black holeswould also populate any upper mass gap created by pair-instability supernovae.
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