  The non-detection of a point source in SN1987A imposes an upper limit for the
optical luminosity of L=2L_sun. This limits the size of a possible fallback
disk around the stellar remnant. Assuming a steady-state thin disk with
blackbody emission requires a disk smaller than 100,000 km if the accretion
rate is at 30% of the Eddington rate (Graves et al. 2005). We have performed
detailed non-LTE radiation transfer calculations to model the disk spectrum
more realistically. It turns out that the observational limit on the disk
extension becomes even tighter, namely 70,000 km.
