The formation and evolution of supermassive black hole (SMBH) binaries during and after galaxy mergers is an important ingredient for our understanding of galaxy formation and evolution in a cosmological context, e.g. for predictions of cosmic star formation histories or of SMBH demographics (to predict events that emit gravitational waves). If galaxies merge in the course of their evolution, there should be either many binary or even multiple black holes, or we have to find out what happens to black hole multiples in galactic nuclei, e.g. whether they come sufficiently close to merge resulting from emission of gravitational waves, or whether they eject each other in gravitational slingshot interactions.
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Spurzem, R. et al. (2008). Parallelization, Special Hardware and Post-Newtonian Dynamics in Direct N - Body Simulations. In: Aarseth, S.J., Tout, C.A., Mardling, R.A. (eds) The Cambridge N-Body Lectures. Lecture Notes in Physics, vol 760. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8431-7_15
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