A Self-consistent Model of the Black Hole Evaporation

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We construct a
self-consistent model which describes a black hole from formation to
evaporation including the back reaction from the Hawking radiation. In the case
where a null shell collapses, at the beginning the evaporation occurs, but it
stops eventually, and a horizon and singularity appear. On the other hand, in
the generic collapse process of a continuously distributed null matter, the
black hole evaporates completely without forming a macroscopically large
horizon nor singularity. We also find a stationary solution in the heat bath,
which can be regarded as a normal thermodynamic object. (hep-th: 1302.4733)