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The Vera C. Rubin Observatory Legacy Survey of Space and Time (LSST) willdetect an unprecedentedly large sample of actively accreting supermassive blackholes with typical accretion disk (AD) sizes of a few light days. This bringsus to face challenges in the reverberation mapping (RM) measurement of AD sizesin active galactic nuclei (AGNs) using interband continuum delays. We examinethe effect of LSST cadence strategies on AD RM using our metricAGNTimeLagMetric. It accounts for redshift, cadence, the magnitude limit, andmagnitude corrections for dust extinction. Running our metric on different LSSTcadence strategies, we produce an atlas of the performance estimations for LSSTphotometric RM measurements. We provide an upper limit on the estimated numberof quasars for which the AD time lag can be computed within 0<z<7 using thefeatures of our metric. We forecast that the total counts of such objects willincrease as the mean sampling rate of the survey decreases. The AD time lagmeasurements are expected for >1000 sources in each Deep Drilling field (DDF,10 sq. deg) in any filter, with the redshift distribution of these sourcespeaking at z~1. We find the LSST observation strategies with a good cadence (~5 days) and a long cumulative season (~9 yr), as proposed for LSST DDF, arefavored for the AD size measurement. We create synthetic LSST light curves forthe most suitable DDF cadences and determine RM time lags to demonstrate theimpact of the best cadences based on the proposed metric.

The LSST era of supermassive black holes accretion-disk reverberation mapping