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We present the results of a community study aimed at exploring some of thescientific opportunities that the next generation Very Large Array (ngVLA)could open in the field of multi-messenger time-domain astronomy. We focus oncompact binary mergers, golden astrophysical targets of ground-basedgravitational wave (GW) detectors such as advanced LIGO. A decade from now, alarge number of these mergers is likely to be discovered by a world-widenetwork of GW detectors. This will enable the identification of host galaxies,either directly through detection of electromagnetic (EM) counterparts, orindirectly by probing potential anisotropies in the spatial distribution ofmergers. Identifying the host galaxy population of GW mergers would provide away to constrain the efficiency of various binary neutron star (NS) or blackhole (BH) formation scenarios, and the merger timescale distributions as linkedto merger rates in early- and late-type galaxies. We discuss how a radio arraywith ~10x the sensitivity of the current Karl G. Jansky VLA and ~10x theresolution, would enable resolved radio continuum studies of binary mergerhosts, probing regions of the galaxy undergoing star formation (which can beheavily obscured by dust and gas), AGN components, and mapping the offsetdistribution of the mergers with respect to the host galaxy light. For compactbinary mergers containing at least one NS and with associated EM counterparts,we show how the ngVLA would enable direct size measurements of the relativisticmerger ejecta and probe, for the first time directly, their dynamics.

Host galaxies and relativistic ejecta of compact binary mergers in the ngVLA era