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Origin of the particles in black hole evaporation

Ralf Schützhold and William G. Unruh
Phys. Rev. D 78, 041504(R) – Published 26 August 2008

Abstract

We present an analytic derivation of Hawking radiation for an arbitrary (spatial) dispersion relation ω(k) as a model for ultrahigh-energy deviations from general covariance. It turns out that the Hawking temperature is proportional to the product of the group dω/dk and phase ω/k velocities evaluated at the frequency ω of the outgoing radiation far away, which suggests that Hawking radiation is basically a low-energy phenomenon. Nevertheless, a group velocity growing too fast at ultrashort distances would generate Hawking radiation at ultrahigh energies (“ultraviolet catastrophe”) and hence should not be a realistic model for the microscopic structure of quantum gravity.

  • Figure
  • Received 19 May 2008

DOI:https://doi.org/10.1103/PhysRevD.78.041504

©2008 American Physical Society

Authors & Affiliations

Ralf Schützhold1,2,* and William G. Unruh3,†

  • 1Fachbereich Physik, Universität Duisburg-Essen, D-47048 Duisburg, Germany
  • 2Institut für Theoretische Physik, Technische Universität Dresden, D-01062 Dresden, Germany
  • 3Canadian Institute for Advanced Research Cosmology and Gravity Program, Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia, V6T 1Z1 Canada

  • *ralf.schuetzhold@uni-due.de
  • unruh@physics.ubc.ca

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Issue

Vol. 78, Iss. 4 — 15 August 2008

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