The Semi-Classical Back Reaction to Black Hole Evaporation

Details The Semi-Classical Back Reaction to Black Hole Evaporation The Semi-Classical Back Reaction to Black Hole Evaporation

1994-11-15

arxiv.org/abs/gr-qc/9411039v1

Phys.Rev.D52:5857-5864,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, LATEX

Scientific paper

10.1103/PhysRevD.52.5857

The semi-classical back reaction to black hole evaporation (wherein the renormalized energy momentum tensor is taken as source of Einstein's equations) is analyzed in detail. It is proven that the mass of a Schwarzshild black hole decreases according to Hawking's law $dM/dt = - C/ M^2$ where $C$ is a constant of order one and that the particles are emitted with a thermal spectrum at temperature $1/8\pi M(t)$.

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