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Short-distance contribution to the spectrum of Hawking radiation

I. Agulló1,2,* and J. Navarro-Salas1,†

Gonzalo J. Olmo‡ and Leonard Parker§

  • 1Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC and Facultad de Física, Universidad de Valencia, Burjassot-46100, Valencia, Spain
  • 2Enrico Fermi Institute and Department of Physics, University of Chicago, Chicago, Illinois 60637, USA

  • Physics Department, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, Wisconsin 53201, USA

  • *ivan.agullo@uv.es
  • †jnavarro@ific.uv.es
  • ‡olmoalba@uwm.edu
  • §leonard@uwm.edu
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Phys. Rev. D 76, 044018 – Published 22 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.044018

Abstract

The Hawking effect can be rederived in terms of two-point functions and in such a way that it makes it possible to estimate, within the conventional semiclassical theory, the contribution of ultrashort distances at I+ to the Planckian spectrum. The analysis shows that, for Schwarzschild astrophysical black holes, the Hawking radiation (for both bosons and fermions) is very robust up to very high frequencies (typically two orders above Hawking’s temperature). Below this scale, the contribution of ultrashort distances to the spectrum is negligible. We argue, using a simple model with modified two-point functions, that the above result seems to have a general validity and that it is related to the observer independence of the short-distance behavior of the corresponding two-point function. The above suggests that only at high emission frequencies could an underlying quantum theory of gravity potentially predict significant deviations from Hawking’s semiclassical result.

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Phys. Rev. D 76, 044018– Published 22 August, 2007
  • Received 30 November 2006

© 2007 American Physical Society

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