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Phys. Rev. Lett. 85, 5042–5045 (2000)

Hawking Radiation As Tunneling

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Maulik K. Parikh
Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544
Spinoza Institute, University of Utrecht, 3584 CE Utrecht, The Netherlands

Frank Wilczek
School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540

Received 16 August 1999; revised 30 August 2000; published in the issue dated 11 December 2000

We present a short and direct derivation of Hawking radiation as a tunneling process, based on particles in a dynamical geometry. The imaginary part of the action for the classically forbidden process is related to the Boltzmann factor for emission at the Hawking temperature. Because the derivation respects conservation laws, the exact spectrum is not precisely thermal. We compare and contrast the problem of spontaneous emission of charged particles from a charged conductor.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.5042
DOI:
10.1103/PhysRevLett.85.5042
PACS:
04.70.Dy, 03.65.Sq, 04.62.+v