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Neutron star mergers are the canonical multimessenger events: they have beenobserved through photons for half a century, gravitational waves since 2017,and are likely to be sources of neutrinos and cosmic rays. Studies of theseevents enable unique insights into astrophysics, particles in theultrarelativistic regime, the heavy element enrichment history through cosmictime, cosmology, dense matter, and fundamental physics. Uncovering this sciencerequires vast observational resources, unparalleled coordination, andadvancements in theory and simulation, which are constrained by our currentunderstanding of nuclear, atomic, and astroparticle physics. This review beginswith a summary of our current knowledge of these events, the expectedobservational signatures, and estimated detection rates for the next decade. Ithen present the key observations necessary to advance our understanding ofthese sources, followed by the broad science this enables. I close with adiscussion on the necessary future capabilities to fully utilize theseenigmatic sources to understand our universe.

Neutron Star Mergers and How to Study Them