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Stellar streams form through the tidal disruption of satellite galaxies orglobular clusters orbiting a host galaxy. Globular cluster streams are excitingsince they are thin (dynamically cold) and, therefore sensitive toperturbations from low-mass subhalos. Since the subhalo mass function differsdepending on the dark matter composition, these gaps can provide uniqueconstraints on dark matter models. However, current samples are limited to theMilky Way. With its large field of view, deep imaging sensitivity, and highangular resolution, the upcoming Nancy Grace Roman Space Telescope (Roman)presents a unique opportunity to increase the number of observed streams andgaps significantly. This paper presents a first exploration of the prospectsfor detecting gaps in streams in M31 and other nearby galaxies with resolvedstars. We simulate the formation of gaps in a Palomar-5-like stream andgenerate mock observations of these gaps with background stars in M31 and theforeground Milky Way stellar fields. We assess Roman's ability to detect gapsout to 10 Mpc through visual inspection and with the gap-finding tool${\texttt{FindTheGap}}$. We conclude that gaps of $\approx 1.5$ kpc in streamsthat are created from subhalos of masses $\geq5 \times 10^6$M$_{\odot}$ aredetectable within a 2-3 Mpc volume in exposures of 1000s to 1 hour. This volumecontains $\approx 150$ galaxies, including $\approx 8$ galaxies withluminosities $>10^{9}~$L$_{\odot}$. Large samples of stream gaps in externalgalaxies will open up a new era of statistical analyses of gap characteristicsin stellar streams and help constrain dark matter models.

Prospects for Detecting Gaps in Globular Cluster Stellar Streams in External Galaxies with the Nancy Grace Roman Space Telescope