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Hawking temperature from quasi-normal modes

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Claus Kiefer

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LETTER TO THE EDITOR

A perturbed black hole has characteristic frequencies (quasi-normal modes). Here I apply a quantum measurement analysis of the quasi-normal mode frequency in the limit of high damping. It turns out that a measurement of this mode necessarily adds noise to it. For a Schwarzschild black hole, this corresponds exactly to the Hawking temperature. The situation for other black holes is briefly discussed.


PACS

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

MSC

83C57 Black holes

Subjects

Gravitation and cosmology

Dates

Issue 17 (7 September 2004)

Received 25 June 2004

Published 18 August 2004



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