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Phys. Rev. D 36, 2336–2341 (1987)

Lifetime of a black hole

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Robert D. Carlitz
Department of Physics, FM-15, University of Washington, Seattle, Washington 98195

Raymond S. Willey
Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260

Received 20 March 1987; published in the issue dated 15 October 1987

We study the constraints placed by quantum mechanics upon the lifetime of a black hole. In the context of a moving-mirror analog model for the Hawking radiation process, we conclude that the period of Hawking radiation must be followed by a much longer period during which the remnant mass (of order mP) may be radiated away. We are able to place a lower bound on the time required for this radiation process, which translates into a lower bound for the lifetime of the black hole. Particles which are emitted during the decay of the remnant, like the particles which comprise the Hawking flux, may be uncorrelated with each other. But each particle emitted from the decaying remnant is correlated with one particle emitted as Hawking radiation. The state which results after the remnant has evaporated is one which locally appears to be thermal, but which on a much larger scale is marked by extensive correlations.

© 1987 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.36.2336
DOI:
10.1103/PhysRevD.36.2336
PACS:
04.60.+n, 03.65.-w, 97.60.Lf