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The Semi-Classical Back Reaction to Black Hole Evaporation

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abstract

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 $1/8\pi M(t)$.

fields

gr-qc 1

years

2026 1

verdicts

UNVERDICTED 1

representative citing papers

Hawking atmosphere of anti-de Sitter black holes

gr-qc · 2026-05-22 · unverdicted · novelty 4.0

Applies Parikh-Wilczek tunneling with backreaction to evaporating AdS black holes, finding luminosity deviates from blackbody scaling for small masses due to rapid mass loss, and computes renormalized energy-momentum tensor in Vaidya-AdS.

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  • Hawking atmosphere of anti-de Sitter black holes gr-qc · 2026-05-22 · unverdicted · none · ref 19 · internal anchor

    Applies Parikh-Wilczek tunneling with backreaction to evaporating AdS black holes, finding luminosity deviates from blackbody scaling for small masses due to rapid mass loss, and computes renormalized energy-momentum tensor in Vaidya-AdS.