The semiclassical back reaction to black hole evaporation (wherein the renormalized energy-momentum tensor is taken as a source of Einstein's equations) is analyzed in detail. It is shown that, so long as the mass of a Schwarzschild black hole is greater than the Planck mass, it decreases according to Hawking's law dM/dt=-C/M², where C is a constant of order one, and the black hole emits particles with a thermal spectrum at temperature 1/8{π}M(t).
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Serge Massar (1995) studied this question.
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