Abstract
Classical general relativity allows for compact objects—“monsters”—with more entropy than black holes of equal mass. We construct examples of such configurations and describe their general properties. Monsters are problematic for certain versions of the AdS/CFT duality, and possibly even for the application of statistical mechanics to quantum gravity. It is possible that they are somehow excluded from the Hilbert space of quantum gravity, although this would be in contrast to the usual case in which coarse-grained, semiclassical configurations have (many) quantum counterparts.
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