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In light of the recent dazzling discovery of GW170817, we discuss several newscientific opportunities that would emerge in multi-messenger time-domainastrophysics if a facility like the next generation Very Large Array (ngVLA)were to work in tandem with ground-based gravitational wave (GW) detectors.These opportunities include probing wide-angle ejecta and off-axis afterglowsof neutron star (NS)-NS mergers; enabling direct size measurements of radioejecta from NS-NS mergers; and unraveling the physics behind the progenitors ofcompact binary mergers via host galaxy studies at radio wavelengths. Ourresults show that, thanks to its unprecedented sensitivity and resolution, thengVLA will enable transformational results in the multi-messenger explorationof the transient radio sky.

Science with an ngVLA: Compact binary mergers as traced by gravitational waves