We present a specific two-dimensional dilaton gravity model in which a black
hole evaporates leaving a wormhole at the end state. As the black hole formed
by infalling matter in a initially static spacetime evaporates by emitting
Hawking radiation, the black hole singularity that is initially hidden behind a
timelike apparent horizon meets the shrinking horizon. At this intersection
point, we imposed boundary conditions which require disappearance of the black
hole singularity and generation of the exotic matter which is the source of the
wormhole as the end state of the black hole. These, of course, preserve energy
conservation and continuity of the metric.Comment: 13 pages, 1 figure, latex. to appear in Phys. Lett. B (1999
