English

Hawking temperature from quasi-normal modes

General Relativity and Quantum Cosmology 2009-11-10 v1

Abstract

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.

Keywords

Cite

@article{arxiv.gr-qc/0406097,
  title  = {Hawking temperature from quasi-normal modes},
  author = {Claus Kiefer},
  journal= {arXiv preprint arXiv:gr-qc/0406097},
  year   = {2009}
}

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7 pages