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Growth of a Black Hole on a Self-Gravitating Radiation
We feed a black hole on a self-gravitating radiation and observe what happens
during the process. Considering a spherical shell of radiation, we show that
the contribution of self-gravity makes the thermodynamic interaction through
the bottom of the shell be distinguished from thermodynamic interaction through
its top. The growth of a black hole horizon appears to be a sudden jump rather
than a sequential increase. We additionally show that much of the entropy will
be absorbed into the black hole only at the last moment of the collapse.Comment: title changed, 6 pages, no figure
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