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We investigate the ability of the Large Synoptic Survey Telescope (LSST) todiscover kilonovae (kNe) from binary neutron star (BNS) and neutron star-blackhole (NSBH) mergers, focusing on serendipitous detections in the Wide-Fast-Deep(WFD) survey. We simulate observations of kNe with proposed LSST surveystrategies, paying particular attention to cadence choices that are compatiblewith the broader LSST cosmology programme. We find that if all kNe areidentical to GW170817, the baseline survey strategy will yield 58 kNe over thesurvey lifetime. If we instead assume a representative population model of BNSkNe, we expect to detect only 27 kNe. However, we find the choice of surveystrategy significantly impacts these numbers and can increase them to 254 kNeand 82 kNe over the survey lifetime, respectively. This improvement arises froman increased cadence of observations between different filters with respect tothe baseline. We then consider the ability of the Advanced LIGO/Virgo (ALV)detector network to detect these BNS mergers. If the optimal survey strategy isadopted, 202 of the GW170817-like kNe and 56 of the BNS population model kNeare detected with LSST but are below the threshold for detection by the ALVnetwork. This represents, for both models, an increase by a factor greater than4.5 in the number of detected sub-threshold events over the baseline surveystrategy. Such a population of sub-threshold events would provide anopportunity to conduct electromagnetic-triggered searches for signals ingravitational-wave detector data and assess selection effects in measurementsof the Hubble constant from standard sirens, e.g., related to viewing angleeffects.

Serendipitous Discoveries of Kilonovae in the LSST Main Survey: Maximising Detections of Sub-Threshold Gravitational Wave Events