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Strong lensing by galaxy clusters can be used to significantly expand thesurvey reach, thus allowing observation of magnified high-redshift supernovaethat otherwise would remain undetected. Strong lensing can also providemultiple images of the galaxies that lie behind the clusters. Detection ofstrongly lensed Type Ia supernovae (SNe Ia) is especially useful because oftheir standardizable brightness, as they can be used to improve either clusterlensing models or independent measurements of cosmological parameters. Thecosmological parameter, the Hubble constant, is of particular interest giventhe discrepancy regarding its value from measurements with differentapproaches. Here, we explore the feasibility of the Vera C. Rubin ObservatoryLegacy Survey of Space and Time (LSST) of detecting strongly lensed SNe in thefield of five galaxy clusters (Abell 1689 and Hubble Frontier Fields clusters)that have well-studied lensing models. Considering the 88 systems composed of268 individual multiple images in the five cluster fields, we find that theLSST will be sensitive to SNe~Ia (SNe~IIP) exploding in 41 (23) galaxy images.The range of redshift of these galaxies is between $1.01 < z < 3.05$. Duringits 10 years of operation, LSST is expected to detect $0.2\pm0.1$ SN~Ia and$0.9\pm0.3$ core collapse SNe. However, as LSST will observe many more massivegalaxy clusters, it is likely that the expectations are higher. We stress theimportance of having an additional observing program for photometric andspectroscopic follow-up of the strongly lensed SNe detected by LSST.

Strongly Lensed Supernovae in Well-Studied Galaxy Clusters with the Vera C. Rubin Observatory